Literally "while being embarrassed about it" i.e. not owning it up.  Means that the singer is determined to be what young girls could only dream of (strengthens the sentiment in the first chorus).
Affiliates: My Little Pony Ties
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シン; ふる; ぶる; ふり; ぶり; ふるう; ふり
shake; wave; wag; swing;
シ; ス; ツ; こ; こ; ね; い; き; ぎ; く; け; ねっ
child; sign of the rat; 11PM-1AM; first sign of Chinese zodiac;