To begin to affect or use up too much of somebody’s time, rights, personal life, etc.
To slowly begin to cover more and more of an area.
I won't encroach on your time any longer. (Oxford)
Gradually the negative feelings encroached into her work. (Oxford)
encroach on your time
negative feelings encroached into her work
Violate
Intrude
Respect
Stay In Place
Encroachment