It sounds like there aren't any small Android phones either, at least not high quality ones.
I sympathize: I actually prefer the original 3.5" screen iPhone. Even the 4" screen seemed a bit too tall for comfort. I finally decided if I was going to need two hands periodically anyway, I might as well bite the bullet and go with a large phone.
She had a Sony Xperia briefly between the iPhone 5 and the SE which was pretty small. The current smallest Xperias (XA1 and XZ2 Compact) are now rocking 5" screens though, so only half an inch smaller than the X/XS.
The Sony Xperia Z3 Compact was a great phone. But unfortunately it had a design flaw that meant the screen would become unglued and it's very hard to repair. I "upgraded" to the X Compact but it's complete garbage in comparison. So many things wrong with it. I really don't want a big phone, though.
I sympathize: I actually prefer the original 3.5" screen iPhone. Even the 4" screen seemed a bit too tall for comfort. I finally decided if I was going to need two hands periodically anyway, I might as well bite the bullet and go with a large phone.