give in over and over again

With kid gloves.

Nah joking. Some sensitive people are just heavily dysregulated and a lot are addicted to their state. I do not like dealing with these.
Some sensitive people are also extra sensory, they feel things deeper. I deal with these using care.

By being your best self and not reacting or internalizing their negative emotions. Instead you invite them over to the other side of higher consciousness.

I believe that people can become so self actualized that they can take someone's negative emotions and transform them into something more beautiful and positive leaving a deep warm impact in their heart.

Depends what authority I have

If they have reasonable, but just heightened, emotional responses, I try to be kind and sensitive to triggers. If the emotional reactions are irrational, I would try to avoid that person.

A kid sensitive subjects or learn how to desensitize them, I.e. Expose what they are sensitive to at tolerable levels.

Very carefully!!

avoid at all costs

Lol that's me