Firstly....there's NO WAY a person will like you and find you ugly.....
Second...
Technically the same can be asked about guys:
Would you (a guy) be okay with being with a girl who likes you but thinks you are ugly?
Same answer, YS.....
I feel (in response to the main...) that a person will be beautiful if they have a beautiful soul (as the brilliant Quag has put it...).
Moreover, there's no such thing as an 'ugly' person, physically. It's what we come up with, as, pardon me, 'morons'...
Take 2 women: One is very pretty, but has an ugly attitude....the other is not as pretty, but is kind, humble, etc. Honestly, who would you choose?
If you had to ask me the same question (about guys), i'd definitely choose the good guy. No matter what, If a guy is sweet, fun, awesome person at heart....then who needs a model-like guy? The good guy will be the 'greatest and most handsome guy in the universe' in my eyes
Same with us girls. If you want the right girl, go for the sweet, loving type....[not the "I'm-so-perfect-and-you-are-a-sucker-who-will-do-whatever-I-want" kind of person]....She will end up being the most beautiful woman in the world...