I totally understand. The thought of all the gunk on me makes me want to gag.
When DD was born I got a cuddle, but they cleaned her up before I even saw her due to her having her bowels outside of her body.
She had to cleaned and glad-wrapped, and then I saw her after a few minutes and she was all wrapped up in a massive blanket with a beanie on.
And then they washed her nearly completely during her surgery.

I don't know how I'll feel with the next one, having a (hopefully!) normally bub and normal delivery.