6'1 isn't super tall. 5'1 isn't super short. MY best mate in heighschool was 7'1 and dating a girl who was about 4'3... now that was weird. It's a larger height difference than most relationships but it's not going to look odd or anything. Physical chemestry might be a tad odd (he might have to stoop slightly to kiss etc) but not unreasonably.
I think the shortest girl I've dated was like 5'3" and I'm 6'5" and I had no problem with it. Are some things easier if you're similar in height? Sure but if you care about someone that doesn't matter.
I'm 5' tall and have dated a few guys 6', which is basically the same height difference as your case. I never found it awkward. In fact I love it when they picked me up to kiss me. And no, I don't even think it looks awkward to stand next to each other. Horizontally never a problem either 😉
The only disadvantage is that it is a bit harder to tango with a guy that's so much taller than you. But hey, that's a minor thing. 😊