well-thought-of (adj.)

• accepted
• admired
• adored
• appreciated
• approved
• backed
• creditable
• esteemed
• estimable
• favored
• favorite
• honorable
• honored
• meritorious
• noble
• popular
• prestigious
• received
• reputable
• respectable
• respected
• revered
• reverend
• supported
• valued
• venerable
• worshipful
• worthy