It may not have enough power where you hunt so you might want to check that out first. It will certainly work but as good as I am with a rifle I would hesitate a lot unless I was really desperate for that deer. Beats a 22 and it is way better than my old 25-20 which has a few deer to its credit by my old stepfathers grandfather but I won't use it if you can get another gun. Your old gun comes from the same era as mine did and we have learned a few things since then. Save it for coyotes and coon hunting.
Good intentions will always be pleaded for any assumption of power. The Constitution was made to guard the people against the dangers of good intentions. There are men in all ages who mean to govern will, but they mean to govern. They promise to be good masters, but they mean to be masters.