DD1 didn't have a bath until day 3. She had some blood caked in her hair but her skin was so soft and beautiful from the vernex. Even after the bath she had such supple skin. The gooeyness was the least of my worries after the birth, i just wanted my baby plus i had a pph so was out of it.

DD2 was different. We had immediate skin to skin but she pooed so the midwife gave her a wash down about 2 hour later while i had a shower cause i didn't want DD1 to see us all bloody and pooey

Just do what feels right for you at the time. Let the endorphins take over. It doesn't take much to wash off or use the warm blanket and give bub a little rub off if it's bothering you.