The .300 WSM is an excellent choice for deer, but not with a 130 grain bullet at that speed. While the bullet will work fine on varmits, you will likely get explosive upset on deer size game, that will not humanely penetrate the chest cavity and kill the deer quickly, even though the damage will probably kill the deer eventually.

Go with a heavier bullet with a greater sectional density...think along the lines of 165 grains to 180 grains for hunting at less than 200 yards...150 grain bullets ok after 200 yards.