Despite its respect-implying nature, 'eminent' doesn't always mean someone is liked or morally good. The eminent dictator was known for his oppressive regime.
Pro Tip 2/3
Field-Specific
'Eminent' often refers to fame within a specific area of expertise or profession. She became an eminent novelist after her third best-selling book.
Pro Tip 3/3
Contemporary Recognition
It frequently implies contemporary recognition rather than historical. He was an eminent figure in modern physics.