If you want bub wiped down and wrapped first just ask your midwife to do this. There is no problem with that. I've done it before for women who prefer it this way. I've also handed the mum her wet slimmy bub and she has looked very uncomfortable about it so if your not comfortable and don't want it that way just say something before hand. The blankets should be warm under the heater and it only takes a few moments to clean bub up and wrap them. You might feel competely differently when the time comes however.