i have a 260 rem in a model 7 remington. with the 120 its got a sharp smack. now thats a light little rifle which fits most smaller framed people well. my 243, same size only a savage, kicks less with a hornady 100gr light mag and is a great deer gun. just my opinion.
My son's 260 was a browning A-bolt and had very little recoil. It did have more ear noise than I could stand with the Win boss system on it. A 26-06 may be a tad much for a small frame women for her first rifle.
.243 have my vote. 25-06 is alittle much. Ammo is common too. 7.62x39 is a nice round for closer range as is the 30-30. The 7.62 is availible in many SA rifle like a Saiga or SKS for very low recoil but heavy and ugly.
A 30-30 le3ver kicks more but is easy to carry.
I would say the .25-06 is a perfect choice for whitetail deer, mule deer, antelope basically the medium sized game.
I wouldn't want to see you use it for like,, moose, elk, carribou,,, the larger framed game.
Good Luck to you.
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Democracy is two wolves and a lamb voting on what to have for lunch.
Liberty is a well-armed lamb contesting the outcome of the vote.
-Benjamin Franklin