Grandparents are expecting to meet our newborn immediately after my scheduled csection.

I have 1 child (2yo) and am scheduled to have our 2nd in 5 days. With my first we went to the hospital around 5AM and had family members waiting around the hospital for the delivery throughout the day. Ultimately I had to have an emergency csection around 10:30PM, so almost all of our family members had left. My parents were still there and met the baby immediately, but I don't really recall anything since I was so exhausted. Most of the family met my first the next day when I was already mobile and out of bed. My hospital doesn't allow VBACs, so we are scheduled Monday morning to deliver our 2nd. Both my parents and my husband's are wanting to come to the hospital to visit immediately after the surgery (surgery is at 7ish & they want to visit at 9). Am I unreasonable for thinking that's insane? Who knows if the surgery will actually happen on time, but I believe I will still have a catheter in and won't be out of bed that quickly. We've told them both they won't be able to visit until that evening, but I'm nervous they (or additional family members) won't listen and will just show up. Honestly, if it were up to me no one would visit in the hospital because I felt so self conscious the first time, but I'm trying to be understanding of their feelings as well. What's an expecting momma to do?