Things that raise either your bitch fame or hero fame after you first encounter Rhot and find the temple, and depending on the choices you make, include:
1. finding the missing acolytes
2. training with the warriors
3. sparring with the warriors
4. offering relief to the warriors
5. talking to Xeroth about how things are going
6. attending the celebration at the end of the Lizard's Treasure event
7. relaxing in the waterfall
There are no interactions I know to lower you fame at all.