Almost all answers seem logical to me.

D would be my guess, purely from the standpoint of verb agreement

A is wrong needs final preposition (yes that can happen look it up I do it all the time.) B is awkward but *technically correct* C is weird and is 1 not what someone would confess and 2 not the way I’d word that as it’s *technically* missing a “that” to connect the thoughts although that can sometimes be omitted depending on dialect. D is actually rather grammatical and logical if a bit clunky, (even if it’s clunky natives say that all the time) E has the right use of “that” to connect a sentence but is illogical. You don’t confess that you want to be Christian in a church, you confess to sins in a church. Last I checked wanting to be Christian is not a sin in Christianity. Of all of them d is the best but this question is strange and doesn’t really work that well

I would think you have the correct answer.  A is incomplete. Missing “to” ..although he didn’t want [to]  B is missing “down” to have burnt the house [down] on purpose.  C and E are just not things that someone would confess. 

A and B the tense does not match, C and E are illogical- people who are Christians do not go to church after a long time to confess that they have been going to church for a long time and they are Christians.

A is wrong because it's an incomplete sentences. It needed to end with something like "to be". B is wrong because it should be "having" not "have" C and E could be considered wrong in that they are present tense while "confessed" is past tense, but I would not agree with that. It is possible to have confessed to a thing that is still true in the present. However they are consistent with the meaning of the word "confessed". To confess is to make an admission of guilt and those are not things that a church would consider to be bad things.

D. is the correct answer. A. and B. are not grammatically correct. They should say "having" instead of "have". A. is also missed the word "to" at the end. C. and E. do not make sense as "confessions". Confessing typically means admitting to something that you have done that is wrong or bad. At a church, people confess things that are considered sins. You can assume he wouldn't "confess" that he wants to convert or that he has been a religious man, because the priest or other people at the church wouldn't disapprove of those things or see them as sins. D. is grammatically correct and it is something someone might say to a priest as a confession. Confessing at a church can mean literally confessing a sin, but I think what's missing here is that "going to confession" is a regular practice that Catholic people have. During "confession", they confess sins to the priest but they can also ask the priest for advice and guidance about an ethical or moral challenge, like in this example.

D is the only correct answer. The others either have the wrong form of the verb or require a noun.

OP, as the purpose of this exercise and this forum is to improve your English you can safely ignore any answers that involve a knowledge of religion or the law. D is the only grammatically correct sentence here. Your answer is correct.

E is actually the best-constructed sentence, it just doesn't make sense in context. D, though rather poorly written, is the only one that's grammatically correct and makes sense.

A few commas and a full stop wouldn't go amiss here.

D makes the most sense. The first 3 don't sound grammatically correct and E wouldn't be something you "confess".

D is the only logical answer from a grammatical perspective. Others in the thread give good reasons why. However, as a teacher, I would hesitate to use this resource at all, on the grounds that sentence D is very badly written. When I read D, the sentence implies (to me) that the man wants to do something to the priest, as much as it says he does not know what to do. This is because the final three words (to the priest) are redundant given the verb 'confessed'. Who do you confess to in a church? A priest. Nitpicky? Yes. I'm curious if there's much awkward phrasing elsewhere in the exercises.

E

D is the most correct, but I would definitely tell my students to not write a sentence like this just because it could be interpreted in weird ways if you put "not knowing what to do now to the priest" in a single chunk.

A and B are wrong because 'confess' needs TO + verb+ING usually. You could say 'confessed (that) + sub' but as the given clause is past, the chosen clause should also be past, so that rules put C and E. This isn't a hard rule - present is possible in these situations but C and E are also logically impossible - they're not confessions. Only D is possible.

Right off the bat, “to having” is the only thing here that works grammatically after “confessed”.   It isn’t E because we’re talking about something that happened in the past. If you wanted to convey this idea, you would say “he went to church and confessed that he wanted to convert to Christianity.” It isn’t C for the same reason. It would be “he went to church and confessed that he had in fact been a religious man and churchgoer from childhood.”  B would be “he went to church and confessed to having burnt the house on purpose, for money.” (If it was already clear from context which house we’re referring to. Otherwise you’d say “to having burnt someone’s house down for money.”) A would be “he confessed to having been involved in a robbery, though he didn’t want to be.”  Of these, E and C also don’t make logical sense. Those aren’t things you confess to a priest. You confess *sins* to a priest.

B because it's an actual confession. This is really in the weeds and has more to do with knowledge of Christianity. Admitting something wrong but with an excuse is not a confession.

D makes the most sense, but E or B would be my next choice. A is terribly worded.

For A, using “want” in that sense is very old fashioned and based on the other replies, not very well-known. The psalm that has the line “the LORD is my shepherd; I shall not want” confused me as a kid because I was like “why wouldn’t I want G as a shepherd?” It might be more commonly use in a sentence like “he didn’t want for shoes, having 14 pair”. But still very old/fashioned.

D reads like "I just saw a murder happen, and while I am intrigued by the method used, I also have another idea about how I would carry out such an act. Now, which of the two methods shall I employ, when I murder the Priest?"

D. Make it look like you are going to kill the perist.

B is the only one that makes sense, given the context. People who confess in church are telling their sins to a priest. This eliminates C, D and E, none of which involve the subject doing anything wrong. A doesn't really make sense grammatically unless you use a mostly archaic definition of ”want," so that only leaves B, even though it is worded awkwardly.