Am I destined to be alone?

I am just feeling so down. I have an almost three year old and I'm single. The dad cheated on me, had a baby behind my back, lied about his age (he's 31 and I'm now 22 but I met him when i was 18) he had other secret children etc etc. I'm at university and meeting loads of new people. I haven't told anyone I have a child because I've not been close enough with anyone to share that info. I just feel like I'm never going to find anyone and be alone forever. No young man is going to want a relationship with me when there are so many girls out there who don't have children and have that freedom. I love my child but I just feel lost, I don't even know who I am. I'm not trying to complain, it's just hard to think about my future when all I ever think about is my child. Which is how it should be but yeah. Am I selfish?