For home or concealed carry? For home, a shotgun is hard to beat. For a woman too, a 20 ga or 28 ga is easy to handle. You can pick shot type that fits your situation. Shot that will work on coyotes or ducks like #4 or #2 is good if you don’t want it to keep going beyond a wall or two where there may be children in the house or nearby neighbors. If this is not an issue then buckshot may be better for you.
If you are going to concealed carry then you need to go to a gun range that rents guns and both of you try a variety of handguns. Buying one that fits and works for two different people will take some work. Try many before you buy.
There’s a gun range not far from us.