Knotty means she likes to be tied up with ropes, its it own sect of BSDM, usally non sexual and ends up in beautifully artistic.
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If a girl says she's been a "knotty girl," she's likely using wordplay to suggest that she's been mischievous or playful. The use of "knotty" (a play on "naughty") may imply that she has been engaging in behavior that is a bit mischievous or flirtatious.