I had a .357 Herrett and about 30 years ago I shot a Merino ram from about 110 yards.
The bullet I used was the 140 gr, Speer JHP, can't remember the powder charge. The ram was perched on a rock, when the bullet hit him just behind the shoulder, he leaped off and did a summersault and landed on his back all four legs in the air, dead right where he lay. The bullet went right through, exit wound the size of a half dollar.
Wouldn't use that bullet on anything large like elk, but wouldn't hesitate on deer.
Good luck.