‘Twee‘ is unlisted in the English Vocabulary Profile. Google Oxford defines it as:
BRITISH excessively or affectedly quaint, pretty, or sentimental.
adverb: affectedly
in a way that is artificial, pretentious, and designed to impress.
adjective: quaint
attractively unusual or old-fashioned.
adjective sentimental
of or prompted by feelings of tenderness, sadness, or nostalgia.
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A search for collocates in NOW corpus:
twee_JJ
1 TOO 143
2 LITTLE 124
3 BIT 120
It would have been easy to go a bit too twee with the classic cottage decor,
but the owners have added more modern pieces, such as the statement light over the table,
to ensure the home feels totally up-to-date.
4 POP 75
5 INDIE 66
6 SOUNDS 60
7 RATHER 58
8 SOUND 49
9 SLIGHTLY 41
This adjective is often related to music such as POP and INDIE.