I think the definition of this trope is a little too broad. It's meant to be about an Action Girl who is said to be skilled and never gets to show off said skills, usually getting captured or getting her ass kicked by everyone else. I don't see why it still applies if she has the Designated Girl Fight
because surely if the fight itself is well done that counts as demonstrating her skills. It seems to have the Unfortunate Implications
that she can only qualify as a true Action Girl
if she beats up men. And why does it count if she's not in any combat scenes? What about other action scenes where she plays an active role?
There are some examples that really don't belong there. Annabeth from the Percy Jackson
movie doesn't qualify in my opinion. She actually outright beats Percy in their first duel and he only draws with her when he uses his powers, meaning she was clearly superior in skill. Then there's the Medusa bit. Yeah she needed to be saved by Percy but then she saved him a few seconds later by driving the truck into the garden that distracts Medusa, allowing Percy to kill her. As for her not doing anything during the final battle with Luke, she didn't have a pair of winged shoes so of course she couldn't do anything. And in her duel with Percy at the end, she gets the upper hand and they are clearly evenly matched. Seems like a proper Action Girl
And Katara from The Last Airbender
movie definitely doesn't count. Her example gives a reason why she doesn't count as well. I don't think Anna from Van Helsing
is an example either considering she drives the carriage successfully through the forest while Van Helsing gets attacked by the brides, she also is able to grab a stake flying through the air while swinging on a wire across two towers and of cours she kills Aleera and does save Van Helsing in the end if you want to get technical.