Can my employer legally discriminate against me for being LGBTQ?

No. Both the California Fair Employment and Housing Act (FEHA) and Title VII of the federal Civil Rights Act (Title VII) make it illegal for an employer to fire, demote, fail to hire, fail to promote, harass, or otherwise discriminate against you (such as by paying a lower wage or denying benefits that other workers receive) because of your sexual orientation, gender identity, and/or gender expression.