Would i be admitted to a mental hospital if i am severly depressed and cut?

You do sound very depressed. Being in the hospital when you are severely depressed is a very good idea. Your meals are prepared so you don't have to lay in bed at home and take care of yourself when you don't feel like doing so. People are there to talk to. You will be stabilized on medication. You are in a safe environment. Please don't be afraid to go into a hospital. It's not a bad place to be. I have been in the hospital quite a number of times when I was severely depressed. The doctor will probably let you make the choice. Please do consider going inpatient. I hope you will feel better soon. Please stay safe. Best Wishes.