What a bizarre comment! I have no idea what "my" pronouns are. I don't even know where to start working it out.
I know what sex-based pronouns woukd apply to me, obviously, because I know what physical sex I am. But clearly that's not what you mean by "your pronouns" since that explicitly excludes the cross-sex or non-sex-based pronouns used by trans people, and knowing how much importance you ascribe to trans identities I'm sure you wouldn't be meaning anything like that!
So no, I, and many other people, have no idea what "my" pronouns would be under this belief system. I suspect almost everyone you assume to be "cis" would come to the same conclusion if they really thought about what statement "their" pronouns was making about them.
I, obviously, have thought about it a lot.
I don't feel the strong identification with the word "woman" as a non-physical identity that the people who say they identify as women (trans or cis) do, so the genderist version of "she" is out.
However, I also don't feel any strong identification with men so "he" is out.
Given the above you might assume non-binary or agender, but I have a female body and I feel no denial or conflict about that beyond the frustration of the lower empowerment that comes from patriarchy. I understand how my physical sex has shaped my lived experience for good and bad in ways that the opposite sex do not face and consider it important to resist the cultural erasure of female presence and achievements. So "they" is also out.
So can you see why, given all this, which is certainly not unique to me, I find it bizarre that you would assume many people would know what "their pronouns" are.
As an expert perhaps you can help. What is the pronoun set for "I'm a natal female who wishes to be respected amd understood as a biological female without the assumption of any mental gender identity"?