So after doing excessive research into it, my vague impression is that the advantage would not be as big as BB imagines. Yes, women usually start at a closer distance/have a shorter course, and there is some advantage to being tall and powerfully built (surely, it’s not just me to whom it seems transwomen in transphobic scare scenarios are almost always not merely of average male stature but musclebound hulks?), but (unsurprising to people who aren’t macho idiots or TERFs) raw power/speed is much less important than technique, with the most important factors for a long drive being timing and developed intutitive routine. There are plenty of golfers who are capable of drives in the three hundred metre average range who are men of unremarkable build or, indeed, women, with there being at least female long drivers who have managed shots over four hundred metres several times. And drive length is not really all that crucial anyways.
…actually, going by the assumptions here, wouldn’t Davidson’s might and muscularity, and, if perhaps to a lesser degree, his height, be less of a giveaway since all the professional players, including the women, would be strong and big?
Also, golf tournaments are not individual games but series of specific games with complex rules and at least some of them have complex qualification requirements so I’m pretty sure that you can’t just show up in disguise and compete at an easier lever (notably, handicap does not exist in professional golf because it is easy to manipulate by playing worse than you actually are before an important game for an advantage, so this sort of problem is something that organised golfing is already aware of anyways).
Also, if the supposed superior parking abilities of men are supposed to be equated to men being superior in golf due to superior spatial awareness and precission - although I am pretty sure they did not actually make this connection -, my impression - granted, from numbers I do not understand in the least - is that women are no worse than men when it comes to aiming and whatever else it takes to get the ball into the hole, with their underpresentation (not absence, mind you) among the best course finishers probably being due to less women in golf/less women in professional golf. Although I guess having too aim over short distances may constitute a lowering of difficulty - but again, I am pretty sure that the Babylon Bee at least was not looking at it under that aspect, seeing how the golf stuff is all about the fake transwoman’s physical prowess (as it is implied that he is competing on the same golf course as previously, I would suspect that it might actually be disadvantageous because he would be used to different distances, causing him to overshoot - a trick used in carnival basketball games).
@Zinnia already dealt with the “women driver” part.
And again, if Golf requires good spatial awareness and precise aim, professional golfers, including female professional golfers, will be people with great spatial awareness and very precise aim.