Generally when I bring fosters home (or now in my case...my adopteds) I exercise the crap out of my younger dogs. Spyro is 12...he doesn't move or care much about anything. Luna sounds like your Bella. I have to get Luna to Spyro's level or she will assume that the kitten is a brand new toy. So walk. Walk till Bella is so tired that she doesn't want to walk anymore. Then walk a little more. When Luna plops on the floor (not full on collapse) I know she is ready.
There are two things you should consider. Does she see you as alpha? If not she could just be extremely upset that you let this new "puppy" into her territory. The other thing to consider is that some dogs just won't do well with cats. Tzus don't have a massively high prey drive usually so I'm seeing that as unlikely. Tzus do have a little attitude though (which is why I miss mine) which, in that case, shed have to get over it. I don't know your dog though.
There are two things you should consider. Does she see you as alpha? If not she could just be extremely upset that you let this new "puppy" into her territory. The other thing to consider is that some dogs just won't do well with cats. Tzus don't have a massively high prey drive usually so I'm seeing that as unlikely. Tzus do have a little attitude though (which is why I miss mine) which, in that case, shed have to get over it. I don't know your dog though.