“なでなでして？ “ i know the word but can’t understand all the phrase 是什麼意思

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なでなでする is intimate word derived from 撫でる.
撫でる means an act of moving one's hand across a surface of something, applying gentle pressure.

なでなでする in te-form is なでなでして.
When a speech ends with して。, it can be said as abnormal ending. Te-form verb must be followed by another word.
今日は外で食べ【て】帰る。
この果物を切っ【て】みた。

When a speech ends with して。, most of the cases are abbreviated pattern of してください。which is common requesting/soliciting format.

Therefore, なでなでして。is abbreviated sentence of なでなでしてください。