I have not been able to compare the P9 and K9 triggers side-by-side. I'll take Kahr at their word, and they say that the P9 is equipped with the Elite series trigger. Bottom line? Either trigger is quite smooth, and easy to master. Even fans of SA autos who loathe DAOs will admit a fondness for the Kahr's trigger.
My girlfriend has what I would consider to be avg. sized hands for a woman. She has no trouble with my existing E9, except for long fingernails being incompatible with autos in-general.
The P9 would be even better for the smaller of hand. Its grip is flat sided, making for an even shorter reach to the trigger. This is a sore subject with some purists who had expected a grip profile exactly like that of the steel version, more hand filling. In any case, its checkering is positive, w/o being annoying to the hand. There is nothing sharp to pinch you, or bite you in recoil.
I have yet to shoot mine more than the first, initial break-in session. Through over 250 rds, it didn't miss a beat. Kahr asserts in the owner's manual that the guns should not even be considered for carry use UNTIL 200 rounds have been shot. This goes back particularly to their first models which had minimum spec., i.e. tight, chambers. It is wise council to follow regarding any auto pistol. I held the P9 so loosely in my grip that I would almost drop it as it recoiled. Through one mag of strong-hand, and two weak, it would not malfunction from "limp wristing". I found this quite comforting.
Recoil was really not different from my steel E9, with standard pressure loads. In the hot stuff, you could notice more recoil in the P, but it was not unmanageable. Certainly nowhere near the felt recoil of the K in .40, or an airweight J-frame with 158 +Ps for that matter. Accuracy was sub-3" at 25yds, with Federal premium fodder. As the gun settles in, I expect it will tighten up a little more.
Go get one. I really doubt that you'll find any disappointment.