Siblings at the hospital?

We are due with our second daughter in a few weeks and are trying to decide whether we should have our almost 3 year old come to the hospital to meet her sister or if we should wait until we bring the baby home. I’m worried that she would be scared seeing mommy in the hospital and then not understand why mommy had to stay at the hospital with her sister but she wasn’t allowed. Would love to hear anyone’s experiences and recommendations with either method of introduction! Thank you!