Probably not. It is one more reason for voters in general and women's groups to light a fire under the conservative and social democratic parties so they fix Self-ID.
The only parties who are seriously against Self-ID are the rightwing groups and BSW (Bündnis Sahra Wagenknecht, soon to be renamed, I read, split-party from the Left).
I don't want anyone to think they "have" to vote AfD for women's rights, it would be madness.
The conservatives were against it, too but now they are too slow to revoke it.
Some context maybe about this specific case and work place law:
Many companies and public services did not have DEI - with the exception of the past couple of years - and "race" is not a category.
What they do have in Germany, and have had for probably 20+ years, is to strive for a balance of men and women in workplaces, and if there is a huge discrepancy, especially on the higher levels (as PP said, too), female applications - when all other aspects of the applicants are comparable (education, experience etc) - are to be preferred, so that men and women are represented more equally.
(This is also the case for people with a disability, especially for desk jobs in the public service. That's because it is assumed people without a disability have more options and alternatives, and also can move city more easily or commute further than for example someone in a wheelchair. However, the applications need to equally qualified, too.)
Both of these regulations have been in place way before DEI came over from the US. I'm saying this so the context is clearer.
Thus the person from this current case in the police will make an interesting example, because yet again it's what many women have warned against.
And yes, the media write "she" for fear of being sued. Also the person accused the police of being "anti-queer", which the top boss rejected as "ridiculous" (from my links above).