HS counselor here. I try for 1-2 days, but things come up during the day that can make this impossible. I've had multiple consecutive days recently where I was addressing student crisis after crisis and didn't even get to my emails during the work day. Often, when I'm good about my emails, it's only because I am making myself less available to students, which I really don't like doing. In the past I would just go home and answer emails but I have two kids under two, and I just don't have the time to bring my work home. I'd say if two business days pass, it's completely appropriate to follow up.
OP I think it's nice that you are being thoughtful about your child's counselor
