Everything you raised in your post seems worth bringing up with her and completely fair game to raise, if you're inclined and willing/able to. I've similarly felt like I had to protect therapists from their own human vulnerability by not bringing up their personal situations and my thoughts/feelings about them, in part because (like you) I was seeing their vulnerabilities as mirroring times I've felt like I lost composure with patients. I don't presume it's an identical situation, but in my case there was significant value in bringing up those conflicting feelings with a therapist I trusted and who knew me well.