Possible Clues:

• Feeling mortified? What you need is tea and a smile
• Mortification of gunner losing heart in range
• Tea served with smirk can be an annoyance
• King George in Succession embarrassment
• Greek in series of shops showing annoyance
• Annoyance comes with endless dull work after tea
• Mortification of companion with a look of the Cheshire cat
• Embarrassment at finding king in the mountains
• Arching in embarrassment
• Embarrassment caused by tie worn by king