"False friend" detected: in Russian жадный [zhadnyj] means greedy. So, "I don't see a greedy woman here")))
"Any woman" is not very good English. We would either say "I don't / can't see a single woman here" or "I can't see any women here". The only context I would use "any" with a singular "woman" is in a sentence like "Any woman could do it". However, "I don't see any woman" sounds really wrong. I think the closest translation is "I don't see a single woman here".