I do not have a problem with a female lead in a show. One thing that may be overlooked her is when they make a movie with a female lead and make a bad movie.
My wife watches a lot of spy, military action type movies. A lot of the time, the stories are poorly written and cheesy when they put a female lead in the show.
One example of this was a movie where the girls dad who died was CIA. His daughter somehow ends up involved in some CIA thing and is able to survive the whole thing even though she has no formal training. So, while this issue occurs with male leads, there are fewer movies like this with female leads so it may look like there is a higher percentage of movies with female leads that people do not like.
Look at the movies with female leads that are great, (Almost anything with Michelle Yeoh), Star Trek Discovery, Star Trek Lower Decks, hidden figures, Alien, Zero Dark Thirty. I am sure there are more that I can’t think of.
I think that the female lead may get blamed for a bad movie, or people just don’t like bad movies and it is assumed it is because it is a female lead.
I agree with you, I think that issue can be handled if they make her a great martial arts fighter.
But she can’t just magically know it, there has to be a reason why she knows how to fight, but that applies to men too.