This is one of those situations where she could be being passive aggressive and rude - or could equally just be giving you a heads up. The not replying to your update could be seen as rude, or she could have seen it when busy, meant to reply, couldn’t at that moment and then completely forgot (or mentally replied but didn’t do it in reality - hello my brain!).
My point is - whilst you think you know her motivation, you don’t. You’re telling yourself a story of it and getting angry at that. Which isn’t to say you’re not right / but at the moment, that’s only hurting you and she’s oblivious (either happily living her bitchy PA life, or glad she’s given you a heads up and your daughter is clear, as we all know what a pain in the arse nits are).
You can choose how to respond her - try and accept that, for whatever reason, she feels the need to do this, but don’t let it get to you. If she does it again, you have some good replies banked to hopefully get her to pipe down, but don’t let her live in your head over this, causing you anger and annoyance.
I read, I think a Brene Brown quote, once, which said something like “life feels a whole lot easier if you can view everyone as just trying to do the best they can at the time”. So even if her best is a bit shitty, it might help to shift your mindset away from her being this purposeful bitchy woman to just being a guy misguided with hopefully decent enough intentions