Should I bet this flop to protect my hand? Tyy!!

PokerStars No-Limit Hold'em, $0.05 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($6.28)
SB ($6.59)
Hero ($4.73)
UTG ($2.98)
MP ($3.16)

Preflop: Hero is BB with Q, K.
UTG calls $0.05, MP raises to $0.2, 2 folds, Hero calls $0.15, UTG folds.

Flop: ($0.47) 4, T, Q (2 players)
Hero checks, MP bets $0.3, Hero calls $0.30.

Turn: ($1.07) 6 (2 players)
Hero checks, MP checks.

River: ($1.07) A (2 players)
Hero checks, MP bets $0.3, Hero calls $0.30.

Final Pot: $1.67