Hey I’ve got this fantastic idea I have a friend and they’re a really good person but they have anger management issues they have an explosive temperament very much a perfectionist.... but also a slob ..carries some kind a weapon all day and night long, last month they accidentally shot their room mate while they were sleeping. They try to solve things in the shoot first, ask questions later .l...they’re looking for a good roommate now so I’ve decided that they should go live with you for a while and we will put you in the same room same bed. You must share all your items you own with them, you don’t get a choice. you just love that idea do you not? Hey cuz I said so you do not get a choice.
That’s pretty much what you’ve done with your gecko, your existing gecko is calm and peaceful you assumed just because you’re putting the same species..... approximate same age, but opposite sex.... they will instantly like each other, share their territories and have no issues with the instant introducing.
The female sounds like she’s hyper and was not well socialized at all when she was very young, and will get the male worked up and aggravated to the point he will start acting like she does, become grouchy and start running and becoming aggressive.
Your best bet is to remove her from the tank and get a separate tank each, let her live there instead. Not all animals get along together...same species same sex or even same species opposite sex. Some animals can only tolerate each other during mating season otherwise they will kill each other normally in nature, otherwise they live solitary lives.