To a degree.
It's fine that the character doesn't hide it, nor should they. But you should consider different ways to state/present it when it comes up as the audience will get tired if it's employed or stated the same way over and over.
However their background, personality and how they react should not start and stop at "I'm ace" or whatever single biological characteristic you deem fit for them to have. This is just basic character creation and design. That is, unless you're writing the character for an advertisement, political slogan or porno.
For example - this is Avery Brooks who played Captain Ben Sisko on Star Trek: Deep Space Nine. That this was the first Trek series with a black captain was a pretty big deal at the time and the show is often lauded as one of the best series the franchise had to offer.
Here, he's being asked if he felt it was necessary that his character was black for the show to work and be successful. I've cued it right to the question and the answer ends around 10:00 so this should be pretty brief.