No drama usually means the person wants clear expectations, restrained communication and minimal disruption to everyday life.
Plain English
No drama.
The phrase is subjective and can sound dismissive without detail. Useful profiles explain the behaviour they want, such as reliable plans, no public contact or no pressure for a conventional relationship.
How it may appear in a profile
“No drama: agree a time, be honest and keep plans.”
“Looking for something calm and separate from daily life.”