Under what circumstances can a marriage be legally annulled in the United States, as per your own source? Let's see.. incest, bigamy, fraud, or lack of consent. I'm sorry, where does it say anything about consummation? Or were you not referring to a civil annulment, but rather a religious annulment which can only be granted by a church or clergy and has no legal effect on marital status?
Here is the list of countries in which sex with your spouse is considered to be a right. Perhaps you would be happier living in one of those.