If any of them put up any resistance, what's the worst case for me?

Some laminate flooring these days have a 50 year warranty and are highly water resistance.  

As a new real estate sales agent years ago after leaving corporate America seeking my own business, I learned very quickly how antiquated the business was AND still is, which has everything to do with emotional intelligence & path to least resistance thinking, called greed.When negotiations are taking place, whether I represent the buyer or seller, I always - 100% of the time, vet the agent on the other side because that is the gateway to success.

Front of the house could use some drought resistant plants.

Unless you have a broker who understands that you want to do real estate deals you may meet with some resistance.    

People that ride close to the flame can get burned.

If you want this to cease, the path of least resistance is generally not to renew her lease.

That would be the path of least resistance to cut them and make the neighbor happy.You could also approach the neighbor and see if you can get them to pay half as I dont think you have to cut them but if any of the branches hang over the property line they can cut them without your approval.  

Where there are no applicable building, housing, or health codes, maintain the roofs, windows, screens, doors, floors, steps, porches, exterior walls, foundations, and all other structural components in good repair and capable of resisting normal forces and loads and the plumbing in reasonable working condition.

@Joe SplitrockThanks Joe this is helpful and it is exactly what my HVAC technician mentioned during his tune-up,  this tenant moved in after the last tune up.A problem I have in general when I attempt to educate is they generally tend to resist and come back with with an argument this is not how it used to be at my previous place so I've been trying back up the education part with some resources Online on HVAC for a more healthy debate hope I will find some online resources soon.