I always let my closest colleagues know when I have a day off, and we are required to add any time off to our team calendar, even if it's just a few hours for a doctor's appointment.
I agree that your whereabouts on your day off are nobody's business, but I find it a little strange not to tell anyone except your manager that you won't be coming to work.
Although your coworker could have asked your manager if you were ill or had the day off instead of texting you, but maybe she really was just concerned. I think your dislike for this person is making you see everything she does in a negative light.
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