Villain just sat at table and is unknown. Is it wrong to ship it on this dry board even though he is only half-stacked?

No-Limit Hold'em, $0.50 BB (4 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

Button ($24.40)
SB ($84.85)
BB ($50)
Hero (UTG) ($50.75)

Preflop: Hero is UTG with Q, Q
Hero bets $1.50, Button calls $1.50, 2 folds

Flop: ($3.75) 10, 3, 7 (2 players)
Hero bets $2.50, Button calls $2.50

Turn: ($8.75) 4 (2 players)
Hero bets $6.50, Button raises $13 ????

Total pot: $21.75