Maybe I'm too suburban but I've never seen staff get upset about being late by less than 15 minutes. Tbh I've never seen anyone even try to make an appointment still later than tha without just cancelling or pretending you never had one lol.

I'm not envious one bit about working in the healthcare industry. I've seen enough of it to stay well away from an absolutely necessary profession rife in red tape and leaches at the higher levels.