For home use I’d be less concerned with compactness and more with capacity. For concealed carry both are a factor. And nothing wrong with having more than one if your and your girl’s abilities and preferences are different.
A rifle is honestly a better home defense weapon than a pistol. The pistol is what you use to fight yourself to your rifle in some knowledgeable people’s minds. Depending on where you live, over penetration can be a concern so, as someone else suggested, a pistol caliber carbine might be most appropriate for an apartment dweller vs someone living on 10 acres with no close neighbors.
I’m a Sig fan myself, so from your list I’d choose the 365. The Smith is also a very nice weapon. I don’t own any Taurus pistols so I can’t offer an informed opinion (though I have several of their revolvers and I like them).
If your girl is on the smaller side and recoil is a concern, one of the 22 magnum pistols with a high capacity magazine could be an option. I have one of the 30 round Kel-Tecs and I think S&W now makes something similar. 30 rounds of 22 magnum can be pretty effective against even a determined intruder. Plus they’re a bunch of fun to shoot.
Good luck and have fun with your new hobby.
