Chances are your marriage license would say whatever your documents that you presented say you are.
I don't remember if California recognizes SRS for marriage purposes. But either way - whether it recognizes it or not - it would impact whether or not your marriage was legal.
If SRS is recognized in CA for marriage, and you married a male, even if your birth certificate said "F" and you convinced the clerk you were "F", but you've had SRS and CA recognizes SRS for marriage, you've entered a same sex marriage in the eyes of the law (which, IIRC, is illegal in California). It's not the documents that matter, but your actual body/chromosomes/etc (depends on State). It also doesn't matter if it is recognized for DMV, vital records, etc - it's what they say about marriage (most likely in the courts) that matters. The documents are supposed to agree with reality - but whenever they disagree with reality, reality is supposed to take precedence.
If it is NOT recognized in CA for marriage, and you married a male, you would be fine. As for changing the marker on the license, I don't know anything about that.
