that's some serious red flags either your husband is cheating ,has a different sexual orientation and is using the marriage as a front to his family or you might even be being gafted. time for a serious talk and if that doesn't solve the issues then it's time for a lawyer and a divorce. good luck OP don't put up with that kind of shit not to mention this is also a manipulation tactic for abusive people

Marriage counseling is always a good option, no shame there

Can you say Annulment?

Well he either 1. is gay 2. is asexual or 3. doesn't find you attractive or 4. has some psychological block or trauma to deal with related to intimacy. 1, 2 or 3, he's basically lying to you to have married him. If it's 4 he needs therapy and help, though it could still wreck the marriage. Could be past abuse, fear of pregnancy, past trauma, some OCD thing or the like, and need therapy. But the most likely cases are 1, 2 or 3.

He's gay.

sounds like he's gay

The most likely explanation is that husband is gay and you are his disguise to hide that. By the way, never marry someone if you have not had sex with them. Sexual intimacy is a basic human need for most people. If you marry someone without having had sex with them, how are you to know you are compatible in this respect.

Most of these answers are a very likely scenarios, and he isn't revealing his sexual preference.

Did you two not have any physical contact before you got married?

With all the answers above, keep in mind that he isn’t there just for sex, and as you have he also has the right to say no. Talk to him and figure out the answers before you make some irreversible decisions.