Eminence is a reference to a couple of places:

• Eminence, Missouri
• Eminence, Kentucky

Eminence is a shortened name for an orchestra based in Sydney, Australia

• Eminence Symphony Orchestra

Eminence is a reference to a form of address:

• His Eminence

Eminence in medical use:

• The thenar eminence is the body of muscle on the palm of the human hand just beneath the thumb.