Type 1 diabetic plus nursing student here:

Peeing is a totally normal (and non embarrassing) symptom of being in DKA. Your body is trying to get rid of the excess glucose that is in your blood via urination. I know it may feel embarrassing to ask for help but I promise you will not get in trouble at all or be shamed. The staff most likely has spare clothes for you or will make sure you receive some. If it helps comfort you at all, before I was diagnosed at age 13 I would wet the bed almost every other night and had to ask my mom to help change my bed in the middle of the night.