I understand skin to skin contact after birth but.....cant get head around this one.

[Glamourcide]

I honestly didn't even notice the 'goo' until much later. I was too wrapped up in finally meeting my baby, gazing at every inch of her body (and I didn't even see the vernix except for what was in her hair, as she had more than DD1 and I remember commenting on it) and taking her in It wasn't gross at all. When DD1 was born I only got a couple of seconds of skin-to-skin before I bled out so she was handed to DH, who didn't notice the greasy smudges all over his black hoodie, he was the same as I was, just too in awe of seeing our baby in person to worry about the mess
DD2 fed straight away, and promptly did her first poo all over my belly - just in case that scares you too, it didn't smell and was just a greasy greeny-black smear, I was able to shower soon after so I wasn't worried.

If you're really concerned about it being yuck, mention it to the midwife before baby arrives so that they can whisk your LO off for a towel-down before you get cuddles... but you may feel differently when your baby is born, I know I wasn't even finished pushing them out and I just wanted to grab them and hang onto them for dear life Such a precious moment!

ETA: I have to say that in my experience, the whole 'throwing baby on mum's belly/chest' is not just to establish skin-to-skin contact, but also so that the midwife/Ob can get bub out of the way of the business end so they can check that everything is all right with you. While bub's cord is still attached, if you're not holding him, someone else has to stand there holding him and to put it bluntly, that means they're standing in the way of someone else being able to help finish off the delivery - administering the injection to help the placenta along, checking to ensure the cord isn't tangled somewhere, making sure you're not beginning to haemorrhage, etc. By 'throwing' baby on mum's belly straight away, they can leave the cord attached (which is awesome, if you haven't already read up about delayed cord clamping, you're missing out!) but baby is in a safe place and the midwives can get on with making sure everything else is okay without being impeded. Just something else to think about if you're really worried about vernix and amniotic fluid on your skin... although tbh, you'll be sitting in a big puddle of it anyway so it doesn't make that much of a difference