I say height isn't a big deal. I like one of my guy friends and he is only 5'2 and I am 5'10. Height is just a number. If yall have a thing together, then go for it. Just because there is some difference in height that shouldn't stop you. You are mainly going for that guy because of his personality and looks. I wish you luck.
"Is that a problem? Should that stop me from liking him?"
Is that a joke? I mean WHY 'should' that stop you from liking him?! You already like him. Are you looking for someone on here to say "That's wrong, you shouldn't like him because he's short." Nobody's going to say that.
You like him, date him. That's all.
I say go for it! Many guys would be thrilled to find a woman who doesn't care about height.
Well according to me, I believe that when you like someone it shouldn't matter about their physical appearance. All that should matter is that you both like each other and are true to each other. Yes, height difference will cause some problems. But if you truly do like one another then you should be able to work around these issues.