Wii: kat is right. You need to date someone different than what you think is "your type". Some people don't express themselves well. She was probably trying to say she wasn't into one night stands. Well - neither are you. Keep an open mind.
Stop focussing all your energy on the fact SDA Lady is on POF. You broke up with her. She has every right to go on there. Seems it is more about her not going for someone new than the fact she wasn't right for you. You need to work on that anger.
And start looking again. It won't hurt you to meet women for coffee. This is the time to try Starbucks instead of Tim's or go for a mocha latter instead of a medium double double. You might be surprised.