1) You need the word "is" before "jealous." "Jealous" isn't a verb, it's an adjective. We say "She is jealous" the same way we would say "She is thirsty" or "She is tall" or "She is sad." 2) The first is wrong. One problem is that "woman of me" isn't good English. It would be correct grammar to say "She is jealous of every woman of mine." However, in the United States it would be socially and culturally wrong to use the word "woman" here. "Girlfriend" would be better. You could say "She is jealous of every girlfriend of mine."

You are missing a verb: 'she is....' She is jealous of... No 1 needs 'she is jealous of every girlfriend (or female friend) of mine'.

Here’s how those sentences could be improved for correctness and naturalness: 1. She is jealous of every woman of me.
This is incorrect. The phrase "of me" doesn’t make sense in this context. 2. She is jealous of every woman I interact with.
This is correct and natural. 3. She is jealous of every woman I talk to.
This is correct and natural. Suggested improvements for natural style: * "She gets jealous of every woman I interact with." * "She’s jealous of every woman I talk to." These slight changes make the sentences sound even more conversational.