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We don't what gender either cat is. My family and I usually refer to Kitty as a "female". Though it's not confirmed. And we don't know nothing about this cat. The only other cats Kitty socialized with where cats my neighbors owned: one adult siamese and two friendly, curious kittens.
How would someone tell if a cat's male or female without harming it?
Lots of cat experience here. Sounds like your fav kitty is being pushed aside by the newcomer because as you say you leave food and a comfy place outside. This can attract any homeless cat and even some with homes if your kitty food is better than what they get at home. This newbie could chase kitty away entirely. I have had this happen and sadly things work one of two ways. Either find a way to get rid of the new cat..or you might find yourself with two ...or worse.