Willard

I don't think so, it's probably random.

Why would you do the hardest trophy during your first playthrough? Just replay that after you finish the story and skip those 10+ minutes missions.

Hello. First of all you need to find 3star rabbit (all animals are quality 1-3) and kill him with 1 hit from varmint rifle - track him while crouching (it allows you to come pretty close to him), call on him, he will raise his head in your direction, then pop dead eye and shoot him in his head. Anyway I strongly recommend you to get legendary buck trinket which allows you to get better quality pelts/bodies while hunting. For example if you find 2star rabbit and you kill him you can get good quality pelt. But if you have legendary buck trinket you can get perfect quality pelt even from 2star rabbit. To get legendary buck trinket - just kill legendary buck, visit any fence ( at emerald ranch for instance) and craft that trinket.