What are the signs that women give when satisfied after sex?

1- Her nipples harden
While it's possible that she's cold or nervous, hardened nipples, coupled with a few other signs such as panting, squirting and yelling the words, "Yes! Yes! I'm coming!" may indicate that your woman is, indeed, satisfied.
2- She gets emotional
If your woman collapses after reaching orgasm or begins crying like a girl (which would make sense), don't worry; it's because she's feeling good.
3- She falls asleep
A trait usually attributed to men, there are women out there who are so incredibly drained via their orgasms that they simply need to take a nap andrecuperate from the damage you've done.
4- She needs to snuggle intimately
While it does not guarantee that she orgasmed per se, her need to hold you tight and feel your arms around her may be a sign that she just finished enjoying a "moving" experience. What that means, I'm not sure, but I think that if she wants to hug you tightly after you finish doing your thing, then she likes you nevertheless.