MOST people will say yes, you can get your deer. If you have an issue where the property owner denies you access, get the Game Warden.
In OK the game warden cannot help you. There is a moral here. If you shoot a deer near your property line make sure it dies on your side of the fence.
OK had a law that allowed "farmers" to trespass on the property of others while "looking for their livestock". When caught trespassing such farmers were always armed with a hunting rifle to "protect themselves from the wild hogs".
After many years of complaints that law was changed by the OK legislature a few years ago. Now farmers "looking for their livestock" must obtain permission before entering the property of others.