Just wanted to add that this would really bother me, too. If it was a one-time thing, like if she was having work done on her home, the calls were about that, then she needed to let the workers in (doorbell), then that's something I could look past. But it sounds like they're not one-time things. Most of them have easy solutions--put her cell phone on silent (unless she's anticipating an emergency), turn off the ringer on her landline (if it's in her office), and keep the door closed to keep the cat from coming in. Even the doorbell, she could simply decline to answer it if she wasn't expecting something.

If the texting is from her husband needing something, she can also set up her phone so that only those calls/texts come through when it's on do not disturb.

I think it's good you sent an email. It should be obvious that this isn't acceptable, but apparently it isn't to her! I hope she responds well and makes some changes to avoid frequent disruptions.

I will say that I've said something to both ex-MC and current T about looking at their cell (and, for ex-MC, having the sound on and looking at it whenever someone called or texted). In those cases, it didn't change their behavior, but I felt better having said it, and they did explain the reasons behind it.

And I was actually rather delighted the few times my current T's pets made an appearance, just because they showed a different side to him. Though I think it would depend on how your T reacted, like if she started talking to and focusing on the cat instead of you, that would be an issue. Or went to go feed him/her.