Talk to Julie help her out, donate Med-X, Fixer, and RadAway.
There are a couple quests you can do for Julie, one is to get a steady supply of meds from the Garrets, the other is to find a few named NPCs and convince them to go to the fort and get sober. Both are pretty easy. Also, give her drugs, as stated above. You can work your way to idolized pretty quickly if you don't cause trouble. Completing That Lucky Old Sun by sending the power to the full region gives a boost as well - any result where Rivas gives you stuff gains Followers rep.