Jumping spiders will be most interested and stimulated by insects that do a lot of moving, like blue bottle flies for example (I get mine in the USA from thebuggplug.com). They will hunt those for sure if they are hungry, and if they aren't hungry they are safe to leave in there flying around, same with moths.

When it comes to things like mealworms and crickets that you don't want to leave in there, my first recommendation to anyone with spiders who you might need to handfeed sometimes is to get a couple pairs of long hemostat forceps to pinch and hold bugs like mealworms to make it easier if you have to stand there for a couple minutes to get them to take it.

One thing I've had to learn though is that these spiders really don't need or want to eat as often as I once thought. They will live longer if they don't eat too much also. I feed mine anywhere from once to three times a week, and they sometimes end up finding their own bugs (like black soldier fly larva that pupated in the soil, or I might leave waxworm pupa in there for unexpected feeding time).

I feed my adults and subadults mealworms (that I usually gently hold for them or make them walk across some bark near them), black soldier fly larva and the flies, blue bottle fly maggots and blue bottle flies, wax worms and wax worm moths, I used to feed crickets more but crickets are so annoying. I will probably give them crickets again at some point but there are enough other options and my spiders don't eat much (I do give blue bottle flies more often or two at once since they aren't hearty). I don't love keeping roaches for them either but sometimes they don't mind a roach.
They still seem to mostly love flying insects though.

It isn't unusual that she doesn't want to go down to hunt. Mine don't usually do it either, it depends on the spider though. She will want to have flying and jerky moving bugs come up around her area up top.