That would be the end of my involvement with disc golf forever, and for most transgender women I think it would be the end for them too.
Your suggestion, which you so casually dashed off, would mean this:
On my driver's license, I'm female. On my passport, I'm female. On my birth certificate, I'm female. When I wake up in the morning, I'm female. When I look in the mirror, I see a woman. Out and about, people see a woman, and treat me as such. To my friends, I'm female. When people are doing crude sexism, I get treated as women do. All day long, every day, inside my head and in the outside world, I'm female.
Then when playing disc golf, no, I would be yanked away from my life and told "no, not here. Here in this sport you play with the men, you man." That would be colossally weird and hurtful and jarring, to be a woman 24/7, in every way in every day, but then to show up to do the one thing I love the most, and to be denied my very womanhood.
This, despite the fact that men have a colossal advantage over me, because they are stronger, have better cardio recovery, etc. Physical transition to female destroys physical ability. We have the science to back this up, and every transgender woman has experienced this first hand.
It is utterly demoralizing to be out playing with casual huckers, and to see some unrated local am bro with no grace, no form, no technique, just arm a Nuke 400' like it's nothing. For me, I need a tailwind, a perfect pull, for everything to go right, and even then I barely get that distance. A bro in jorts and a vape pen in his off hand just grabs any old disc and outdrives me, and doesn't even appreciate realize the gift he's been given in the form of thoughtlessly easy power.
And you want me to go toe-to-toe with MPO? Get bent, mate.
I have had to fight my ass off to be who I am. I have lost more than you will ever know in the process. I have to re-litigate my very existence and very identity nearly constantly, and I do it because it's who I am. I will never not be me, no matter how many people try to tell me otherwise.
What is a casual and painless experience for you, calling me out and trying to deny my reality, is just one part of a never-ending stream that only stops coming at me when I am asleep or alone. You just casually dismiss transgender women and then move on with your day. For me, it never ends.
I have made disc golf my passion for the past seven years. It's all I do, and you want to just end it for me, without even knowing who I am. I will fight you, forever, because I have been fighting people like you forever. It's all I know anymore.
I will have peace only when I am dead, and it's because of people like you.