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All answers having "Embarrassed" as clue:

3 Character Answers:

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AGE

RED

RHO



4 Character Answers:

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MADE



5 Character Answers:

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NONET



6 Character Answers:

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ABLUSH

BEAGLE

CURARE

SHAMED



7 Character Answers:

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ABASHED

ASHAMED

BEETRED



8 Character Answers:

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REDEARED

REDFACED

SHEEPISH



9 Character Answers:

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ILLATEASE



10 Character Answers:

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NETTLERASH

SHAMEFACED



13 Character Answers:

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CRYPTOGRAPHER