Built my bitty daughter and wife a 6.5Grendel in a lightweight AR15. Smashing success.
My daughter was in the 80lb range at the time. Mass & recoil are still issues and will be if my wife is any indication.
6.5Grendel is more than adequate for big honking Axis does at range, my daughter can assure you.
6.5Grendel is plenty powerful enough on medium big game with reasonable projectiles. Hornady SST 123gr is serious deer medicine.
Since you can't use an AR15 to hunt in PA, the mini action bolts are the way to go.
CZ527 Minimauser American
https://cz-usa.com/product/cz-527-american/
24" bbl
6.4lbs
CZ527 Minimauser American Synthetic
https://cz-usa.com/product/cz-527-american-synthetic-suppressor-ready/
16.5" bbl
5.87lbs
Howa Mini action
https://www.legacysports.com/catalog/howa/howa-mini-action-rifle/
22" bbl
6.0lbs
May be others, these are the ones I know. I am partial to Mauser actions and my wife developed "Mauser Envy" when she hunted with her first rifle, a Ruger American Compact Rifle (18" bbl, 6lbs). Why? Because the new style cheap "machined out tube" "bolt actions are a PITA to administer relative to the older Mauser-based actions. She saw that I had less trouble with my CZ administration. The Howa looks more open like the Mauser.
FTR, I own & love a CZ550 Americna Safari in .375H&H. Love it.
That CZ527 synthetic looks about as handy as a front shirt pocket, and is less than 6lbs. 16" is more than enough bbl for 6.5G, but the 24" bbl will get a bit more velocity.
And looky here:
http://shop.cz-usa.com/SearchByKeyword?word=stock+527
You can buy stocks of various sizes and materials. That "Youth Carbine" stock looks teeny-tiny.
I hear good things about the Howa, but looking at the offerings, I would run with a CZ offering.
Last, .243Win is a great round, but too much for smaller kids and many women without a recoil shield.
Good luck.