To me it just seems silly you would get so mad over something you had the power to say no to, but chose not to.
If you wanted sex or that feeling so bad you could have masturbated or done many of other things to take your mind off it.
I don't think you need professional help it was your choice not to have sexual relations, you didn't have the will power, now you know, why don't you pick something for New Years that isn't out of your league. I don't think your addicted to sex, i think once you have sex and you enjoy it it's hard to give up just like someone wanting to diet and they love junk food...you get my point.
I can see you would be mad at yourself but don't go sweating bullets over it, life goes on.
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Keep Smilin