I must admit I find it hard to be in a physical relationship with a person I'm not attracted to. You know... I won't go into details but I just wouldn't be able to partake in the physical side if he grosses me out. A friend sure, a bedroom partner... no.
But cute or sexy? It's very vague. To me, as long as he keeps clean and looks after his health, then he shouldn't gross me out.
But personality takes priority over looks. Even if he looks good, if he's arrogant, cruel, foolish, manipulative, imposing, agressive, not loyal, or any other bad trait along those lines then I feel repelled anyway. He's got to be kind and considerate, understanding, ambitious, and accepting, and never want to try to change me to suit himself, and I need to know him well before advancing in the relationship. Even if he's not the best looker, those good traits are too hard to come by to pass up.
Luckily, I've already found someone like that so it's all good.