Anointed Alpha - Borderlands 3 Farming Guides
Location: The Anvil - Eden 6
Part of: Malevolent Practice Side Quest
Drops: Linc (Atlas Pistol), Ogre (Vladof AR), Infinity (Vladof Pistol)
You'll find the Anointed Alpha in The Anvil, a zone on Eden-6. In order to fight the Anointed Alpha you'll need to have completed the quest Malevolent Practice or be on the final part of the quest, which involves fighting this guy. The actual fight with the Anointed Alpha will be extremely difficult if you don't have an overpowered spec and/or are playing on high Mayhem difficulty. His main ability is to go immune and summon up weaker versions of himself that you'll need to defeat.
As far as drops go, Linc (Atlas Pistol) is a unique drop just from the Anointed Alpha and can't drop anywhere else in the world. It has a fast fire rate and bullet speed. The other two drops on the loot table are Ogre (Vladof AR) and Infinity (Vladof Pistol).