Anyway she first texted apologizing about the other day. I didn’t reply. Then she asked if I would come to the park with her and my S tomorrow. I politely declined because I have work. She then replied that “ok well let me know if you can make it work or change your mind”. I didn’t reply to this. A few hours later another text. “I want to get lunch with you tomorrow.”
She pushed you away with her rude comments the other day and now she's trying to pull you back in. Good job not taking the bait! If she keeps this up then just tell her you're not interested in having a meal with her and ask her what it is that she wants.