There is at least 15ms difference between average man and average woman visual reaction time, in men favour.
In FPS it plays a huge role.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4456887/
Here it says mean fastest reaction time differs by 23ms, even more:
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0026141#:~:text=The%20mean%20fastest%20reaction%20times,and%20131%20ms%20for%20women.