Sorry to hear this, sometimes two dogs just won't get on and it is kinder to re-home or return to breeder/rescue...
I've just been asked if I'd like a beautiful smooth coat Chihuahua bitch, but the reason she is for re-homing is that she is "jealous" of their other dog...so I doubt she'd be happy here
Thankfully there is another home lined up for her once she is spayed...I just got first refusal

She'll be the only dog in the home, so hopefully she will be happier.
Take care,
Barbara x