Stick to the kind of guy you want and wait until he comes alone. You only need 1 person so it does not matter if you are given few opportunities. Focus on being good and doing good and working hard and thinking positive and being kind. The right person will come to you.
I imagine that through repeated exposure your preferences would eventually adapt but if that doesn't happen I wouldn't date someone I didn't like. I would say give a cute guy a chance at first bc u never know