Possible Clues:

• Partner of ''his''
• Lady's man's embracing redhead
• Peter Murphy: "His Circle and ___ Meet"
• Certain vanity plate for husband-and-wife cars
• It's for the woman to turn up for different people
• Pronoun on a towel
• Like one of the towels?
• One of two bath towels
• Linen marking
• Part of a divorce settlement