Great play, definitely call that min check-raise.

http://poker-tools.FlopTurnRiver.com...Calculator.php
FlopTurnRiver.com -h 4d 8d - qs qc -- 4c 9d td
Holdem Hi: 990 enumerated boards containing 4c Td 9d
cards win %win lose %lose tie %tie EV
8d 4d 505 51.01 485 48.99 0 0.00 0.510
Qs Qc 485 48.99 505 51.01 0 0.00 0.490

After the flop, you were still a slight favorite at 51% over QQ.