OK so to note most women are significantly smaller on average I see 308 suggested quite a few times. Women on average are around 20% lighter equivalent recoil to a 308 is about a 6.5 creedmoor. It's vastly more important to consider optimizing efficiency of the bullet to maximize the downgraded performance for the least cost (ie recoil). I would only suggest a 6.5 or less Ideally a 22 or 6mm chambering. There are almost no bad options but the larger the calibre the more case it needs. Ie a 6.5 Grendel will almost universally work worse than a 6 arc due to the fact bullets need velocity to expand and the Grendel is lacking in downrange velocity due to a less optimum bullet choice.
Also I see kimber mentioned and I am a fan personally. They are not a great women's rifle even in 6.5 Creed as a 6 pound creedmoor recoils more than an 8 pound 308. I found the 308 and 7mm08 in the kimbers to have a negative effect on in the field accuracy. I could shoot them but it took way more time and energy and simply didn't work as well in the field. I put a brake on my 6.5 creed kimber and that made the rifle very shootable again (but brakes suck). I have one being rebarreled in 22 creedmoor purely to minimize the recoil and maximize performance achievable out of the light kimber action whilst remaining as shootable as possible. My missus hated shooting the kimbers even the braked one as even though recoil was manageable the concussion sucked.
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