workplace Discrimination: Gender Pay Gap — this can't be right

I publish illustrative scenarios prepared by my practice. All participants and conversations are fictional. The fictional posts are not posts by real users, accounts of client experiences, or reports of actual results.
Illustrative scenario prepared by my practice.
For informational purposes only. This is not legal advice. Laws vary by jurisdiction. Consult a qualified attorney for advice specific to your situation.
Hypothetical question

I'm in a difficult situation and trying to figure out my next steps.

hostile work environment complaint ignored. I've been dealing with this for about 2 weeks now and the situation isn't improving.

I have worked at this company for 6 years. My position is exempt and I do not have a written employment agreement beyond the standard offer letter.

Do I have a strong case? What should my next steps be?