Possible Clues:

• Eagles "Ain't no way to hide those ___"
• What 'you can't hide' according to a 1977 Eagles song
• 1975 Eagles hit about a woman having an affair
• What 'you can't hide' per a 1975 Eagles hit
• Eagles song with the line 'She is headed for the cheatin' side of town'
• Hardly religious, this David Bowie release