Would you allow your 4 year old child to go on a playdate to a school friend's house alone for the first time if you do not know the other parents?

Okay so my son became friends with someone at school. I text the mother of the kid through the school app for a playdate but then for me it got weird cuz she said I should just let her take my son from school and I pick him up at her house later. I am not comfortable with this. I think it is weird at that age. I think as I do not know the parents I should at least stay for the first play date. However random drop offs for playdates seem to be common in this small town I recently moved to. She seemed to get offended when I suggested I stay the first time and cancelled the date till another time. What would you do?