I find it funny that people are using the male pronoun when talking about God being female.

Eternal means simply there is no beginning nor a end and that it simply always existed.

No, I would not hit it. Seriously, what if she had a STI? Plus girls just don't do it for me. Another thing is, have you ever seen a mortal well off after he did it with a goddess? Hmmm? According to the Ancient Greeks, if a guy slept with a goddess he would become impotent afterwards (though I think Aphrodite was the exception).