The Hebrew word “ish”, translated “man” in the first part of that verse, refers to a male human, but the matter is the nature of mortal humankind (women lie also). The second instance, it’s translated from Hebrew “adam”.
In 2 Samuel 7:14, “I will be his father, and he shall be my son”, the Hebrew word “ab” definitely and unambiguously means “father”.
In any case, God is not a human. We were created in his image, but this applies metaphorically in terms of our capability to reason. At least that is how I interpret it. In Old English, “man” means “person” or “human”, not necessarily a male one. “Woman” comes from the Old English term “wife person”.