> A marriage in which there is a permanent refusal to have sex can be annulled.

That’s not quite true. A more accurate statement would be: A marriage may be annulled in some U.S. states if one spouse entered the marriage with a concealed, permanent intention not to consummate it, and that intention constitutes fraud going to the essence of the marriage.

If the couple was having sex after marriage, and then one partner decided to cease having it some time later, that is generally not grounds for annulment.

If it were permitted, this would make many, if not most, late-stage marriages subject to annulment. People get sick and injured or just incapable in old age.