God has all characteristics both male and female yes, but you error if you think that means that there is a separate female entity within God. That’s reading far more into the text than is really there.
Note: Chapter 1 and 2 of Genesis don’t record chronologically sequential events, they describe the same event first in overview and then the important part (Adam’s creation) specifically. It’s a common Hebrew literary device.
There are very good arguments in The Bible to support the Trinity just as there are very good scriptural verses that support the opposite view.
The Church got along well for hundreds of years without the Doctrine of the Trinity and I don't personally worry about it one way or the other.
God is the Father of Jesus Christ, whether they share a body or have bodies made of the same stuff but inhabit them individually is of no importance to me. I don't think I know of any good reason to care one way or the other.