No, the female and non-binary people in my life both give and accept "bro" or "bruh" without complaint. I once asked one of my non-binary friends directly how they felt about "bro", "dude", etc and they consider those words to be gender neutral. They are like the word "man" now ("IDK man").
That's actually how it was originally, because in Old English "man" just meant a gender-neutral "person."
Gendered versions were "wer" and "wif", so you could have a "wer-man" and a "wif-man", the latter changing pronunciation to become "woman". I suppose this also means that there are both "werewolves" and "wifwolves".
