QQ 3bet preflop against hyperaggressive Tag 22/14/9, very light 3betti

villain is 22/14/9. He has been 3betting really light. Was it correct to shove ?

PokerStars No-Limit Hold'em, $0.50 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

saw flop|<font color="#C00000">saw showdown</font>

MP ($29.25)
<font color="#C00000">Button ($66.50)</font>
SB ($39.45)
BB ($20.30)
<font color="#C00000">Hero ($137.50)</font>

Preflop: Hero is UTG with Q[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">Hero raises to $2</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Button raises to $8</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to $137.5</font>, Button calls $58.50 (All-In).