Ah, Henry Cavill... I never know how I feel about the guy. He's gorgeous, no doubt, but there is just something a bit sleazy about him, and I wish he'd tone down his gym routine, it's starting to look a bit over the top imo. Can't be healthy to be so comically beefed up?!
Regarding the gay rumours: I seem to recall that his best friend is gay. So I doubt he's a homophobe. Wouldn't be surprised if he's bi, but somehow doubt he's gay, it's pretty obvious that he's attracted to women, and he isn't a good enough actor for that to be all pretense. Of course, being a bi man in the industry is almost worse than being gay, it's harder to sell a "wholesome", coherent image.
He just seems like a bit of a "guy's guy", someone who grew up mostly around men and has a bit of a crass and politically incorrect side, and I think especially Americans then over interpret this as him being a creep or whatever. I remember there was a clip of him being interviewed with the girl who plays his daughter in the Witcher and people said he was being creepy towards her. I didn't see any of that in the clip though. And people are making up weird tit about him and Millie Bobby Brown, but everyone knows she's actually being groomed by Drake. Cavill did date an 18 year old when he was already in his 30s, which is icky.