If someone I saw once before then monthssss later bought me a gift , Birthday gift no less at our next meeting and it be anything but a few flowers I honestly would have refused it and depending on that gift I might place that person in the “ way too soon , maybe creepy” category.
She laughed and you felt she was arrogant?? What did she do that came off as arrogant?
Daddy issues ??? Really ? You don’t know her to make some kind of assumptions.
If on the second “date “ your already arm chair diagnosing her ?? I say let this end right here.
Move on , life is too short.