She is not really fussy, she just cares a lot about details.
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This jiáo reading lives almost entirely in the colloquial word 矫情, a northern-speech term for someone who picks fights over nothing or makes a needless fuss. Read instead as jiǎoqíng, 矫情 means 'affected' or 'pretentious'.
Arrow radical on the left supplies the literal image: bent arrows had to be straightened over heat before they would fly true. From that craft-bench origin 矫 widened to mean any kind of correction or rectification, from orthodontics to posture to character.
Right side supplies the sound: qiáo shifting to jiǎo, a common palatal-initial pattern. The 'tall and upright' sense of 乔 also matches what a straightened arrow becomes: vertical, true, no longer warped.
