I haven't had any sexual contact in 10 years

Sexuality is disgusting, and it should be.

Prioritize your values, first.

why do you feel appalled to be around ordinary men
do you feel that your too good for them?
do you suffer from little princess syndrome?
personally I feel that if you are just an average joe female then you are going to have to get your head around the fact that your worth no more than the average joe male and your not going to be whisked away by George Clooney to spend the rest of your life sipping cocktails on Malibu beach
sorry if this sounds a little harsh but this ever increasingly little princess culture is giving the average woman unrealistically over exaggerated expectation of her own self worth
ie woman are not worth more than men they are exactly the same
being married to an average man whom I love very much and also have average brothers and an average father (nothing wrong with average,average just means the norm) I find the fact that you find average men so appalling to be very insulting
so ignore the ever increasingly led feminist media hype and open your eyes to the world around you,and also a bit more humility wouldn't go a miss.

Try changin your outlook about sex.

Sex is something you do FOR YOURSELF with someone else. And it can happen between friends if you become friends.

So either-- decide you are going to seek out a stimulating partner where they are--- usually where people are dancing and drinking and hook-up and let it happen. This is getting sex--- for yourself--- selfishly which can be what its about.
------ or -------
Stop setting sexual attraction as a requirement to associate with men, any men. Meet in situations where you can associate and be friends---- volunteer organizations, committees (like parade planning) etc. Friends first can become sexual partners and even remain friends. Really, not talking about "in-love" couples breaking up and staying friends which truly is difficult, talking about real friends hooking up sometimes, and staying friends.

Come back to Earth. If we all only wanted movie stars we would all do without.

You've set your standards so high that no real person is going to fit the bill.
You must stop expecting the worst from every guy you meet and just look for a friend and companion. Once you have feelings for someone, you will be amazed how easy it is to slip into a comfortable sexual relationship.

You set your standards too high perhaps and now that you have wasted your peak fertility day and your beauty took a nose dove around the age of 25 it'll be even HARDER for you do find a suitable mate and NOW you will have to settle for subpar when you should have taken advantage of your early years to lock down a man. Are you fat ?