She chased it all the way. Do you play this any differently?

Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.05/$0.10
9 players
Converter

Stack sizes:
UTG: $9.90
wastrel: $9.70
MP1: $9.30
MP2: $6.05
MP3: $6.75
CO: $4.45
Button: $3.30
SB: $6
BB: $7.05

Pre-flop: (9 players) wastrel is UTG+1 with
UTG folds, wastrel calls, 3 folds, CO calls, Button folds, SB calls, BB checks.

Flop: ($0.4, 4 players)
SB checks, BB bets $0.2, wastrel raises to $0.8, 2 folds, BB calls.

Turn: ($2, 2 players)
BB bets $0.1, wastrel raises to $1, BB calls.

River: ($4, 2 players)
BB bets $0.1, wastrel calls.

Results:
Final pot: $4.2
BB showed 5c 2d
wastrel mucks Ah Ts

You gotta dump this PF bud in this position. Will lead to trouble more times than not.