I don't have an issue with getting beat. I get beat by plenty of men and women. The issue is fairness. Nova stated that she doesn't feel playing in the MPO division is fair because men have physical advantages to her. I don't feel like trans women playing in FPO is fair because they have physical advantages. The 2 links below are studies done. They did notice changes in trans women but measurements were still higher that cisgender after 36 months. It also mentioned muscle memory and some other things that are quite interesting.
https://link.springer.com/article/10.1007/s40279-020-01389-3
https://bjsm.bmj.com/content/early/2021/02/28/bjsports-2020-103106
I don't want to put words in Nova's mouth, but I doubt the reason she doesn't want to play MPO is because she would be at a competitive disadvantage.
I've known quite a few transgender folks for some unknown reason (I literally live in the boondocks) and the reoccurring theme is acceptance. They know who they are. There is a whole World full of GMcAtee's and BrotherDave's out there that will never accept them, and they know that. It's a battle they have to fight their whole lives individual by individual.
For most of their history, that lack of acceptance was systemic. If they went out and were minding their own business, anyone could notice them and yell "That chick is a dude" and suddenly it would be open season for abuse of them while people like me stood around and did nothing about it. Non-acceptance of them was the default.
So only in the last maybe decade has that shifted. They don't have to hide and hope no one notices them. If somebody yells "That chick is a dude" now it's more likely that others will tell that person to shut up. It opens up the World in a lot of way; they can go places now and be who they know they are. More of us realize that they are not someone to be feared or hated or condemned. They are just a person. A lot of the systemic barriers for them to live their lives have come down.
So as part of that shift it's OK to go out and do things. It's OK to let their Frisbee freak flag fly and they can join a disc golf club and not be ostracized like they would have been only a few years ago. They don't have to give up that sense of belonging to groups and hide just so they can be who they know they are.
But now suddenly after making a lot of gains, they are the target. Right-wing groups failed in the attacks on gay marriage, so they changed the tactics and have put transgender people in the crosshairs. So now people show up and want to tell people like Nova that "Just kidding, we don't really accept you" on a disc golf-wide level. You are talking about reinstating the systemic barriers to her being able to live her life.
We act like it's a sports fairness issue, but we all know that's just the cover. The attempt to drive transgender people out of mainstream America and back to the shadows where they hide in fear of being discovered is going to go WAAAYYY past restricting them from playing sports. So if you are going to take the side of telling them they can't play sports (because they are not going to go compete as a man, that's ridiculous on multiple levels) you better figure out where your line in the sand is on how far you are going to support measures to discriminate against them.
tl;dr: "doesn't feel playing in the MPO division is fair because men have physical advantages to her" misses the point of what is really going on here. Focusing on this myth that somehow all athletic competition can be "fair" (hint: it's not now and ever has been) is how they are getting you to buy into an agenda of discrimination.