I think he underestimates his chances here...
He bears the only sausage in a place full of starving carnivorous girls.
When the girls find out that they can actually get some meat here, they won't be looking to dispose of it - instead, they'll be jumping at the opportunity to sample it themselves.
Yuri happens here at the rate that is does, not because everyone is gay, but for lack of an alternative. As is the norm in society, most of these girls probably prefer men - they just don't have access to any.
In other words: as the first girl has already demonstrated - they won't blow his cover if they can get a piece of him.
I think it will go that way with others as well. He will be a harem protagonist before he realizes what's going on.