Can you live a life of solitary sex? If you can't, why would you marry someone you have not been having sex with unless you didn't know that it would be a sexless marriage (maybe you thought he was saving himself for marriage/against premarital sex?). Are you in love with him? I have read in many articles that sex strengthens a marriage and I think that if both of you do not figure out why he doesn't want you sexually and/or why you would accept a sexless marriage--your marriage will be unhappy.

When you try to talk to him--Does he take the discussion seriously? Is he opening up or closing down? Keep talking with him. Sorry you are in this situation.

Also, if he doesn't eventually talk about why he doesn't want to have sex--he is not even being fully emotionally intimate either. Seems like something might be wrong then. Are both of you emotionally intimate in other ways? What do you like about him? If you have depression and anxiety --keep working on that--sometimes our anxiety makes us afraid to face problems in a straightforward way.