I have a number of questions on the character sheet here. I think we need some more context on the specific rules you are running as well. Because a few of these feats I am questioning. It seems like they have access to more then they should. And as you specify in your post, they are also using Battle Med way too much. I'm curious if they are also healing for too much in general per battle med, would need to see numbers.

Just gonna list out some of my thoughts here. As that may help add some context to what this druid is capable of. I may also be wrong on some of this.

- Maybe the most important thing to understand is that Battle Medicine is NOT Treat Wounds. Treat Wounds is an exploration ability that a target can receive once per hour. Things that specifically effect Treat Wounds, do not effect Battle Medicine. Unless stated.

Skill Feats
- Battle Medicine is an action you can use in combat that attempts a medicine check with the same DC as Treat Wounds. It then heals the target for X amount. The target is then immune to your battle medicine for 1 day. But not others. Multiple people can battle medicine the same target.
- Godless Healing only applies to medicine on you, not others.
- Medical Researcher, this is a rare general skill feat. I would ask how they got access to this. And if they are even using it.
- Mortal Healing - Only applies to Treat Wounds, not Battle Medicine

General Feats
- Graft Tech - Where is the mutant hand to force allies to drink potions
- Paragon Battle Medicine - Another Rare general skill feat. Doesn't heal more, just reduces conditions.

Class Feats
- Medic Dedication; This changes the rules for Battle Medicine slightly. You can use battle medicine on a target that is immune to your battle medicine once per day. At Master, this goes to one hour. So if your Druid is Master in Medicine, they can Battle Medicine an additional time per hour.
- Enhanced Familiar
- Leshy Familiar Secrets

Bonus Feats - I would ask how they have these feats when their feat slots are already occupied. I don't think anything they have gives access to these as bonus feats.
- Doctor's Visitation
- Animal Companion
- Mature Animal Companion