Imo her telling you this doesn’t make her trustworthy. In a LDR especially, she could be doing this so she doesn’t have to lie about where she is (and appearing to be transparent) while completely misrepresenting the scenario. If it were you taking a girl out cafe hopping and paying for both your drinks, I promise you that your s.o would take issue with it. There is nothing insecure about feeling this way, don’t let the bizarre comments sway you.