What is the name of your state (only U.S. law)? IL
I have been married for 6 years and we have never had sex. We have lived apart for 1 year now. Could I get an annulment?
Thanks!
Nope.
Do you really think you're going to convince a court that you were married and living together for 5 years and never had sex- and that you just discovered that your spouse couldn't have sex? If there's a physical problem, you should have known about it many years earlier.
Grounds for annulment in IL:
Illinois Annulment FAQ's — DivorceNet
Specifically:
A party cannot consummate the marriage by sexual intercourse and the other party did not know of the incapacity;
That is combined with a time limit:
Inability to consummate the marriage: either party may petition, but the petition must be filed within one year after the petitioner obtained knowledge of the grounds
So, you're going to have to convince a judge that you were married for 5 years and then separated a year ago and only now found out that your partner was UNABLE (not unwilling) to have sex. Not a chance.
Get a divorce.