The build-up to the game had been dominated by the first on-field meeting between Terry and Wayne Bridge following the Chelsea captain's alleged affair with the mother of Bridge's young son.
Bridge made a point of refusing to shake Terry's hand before the match but had the last laugh as two goals each from Carlos Tevez and Bellamy secured a vital win for City as the home side had Juliano Belletti and Michael Ballack sent off.
Bellamy said: 'You guys (the media) make a lot more of it you know. I know what JT is like and nothing surprises me about it, so I'm not going to comment on that. I think everybody in football knows what the guy is like, but that's off the field.
No love lost: Bellamy (left) mouths off to Terry at Stamford Bridge
'On it he's an outstanding player. He's a great captain for Chelsea. It's always going to be difficult when you play him and his team.'
The Wales striker admitted the result was a big boost for City's hopes of qualifying for the Champions League
Head to head: Bridge shunned Terry's handshake
He said: 'Today was a big, big result for us because we have come awayfrom the last month, we haven't been playing particularly well and itshowed in the first half when we got going with the counter-attack withCarlos up there, especially on his own, which was difficult.
'I thought we got closer to him in the second half and we've got players that can score goals.'
City boss Roberto Mancini paid tribute to Bridge's recent performances for the club, and praised the way his team-mates had rallied round him during his personal troubles.
He said: 'Wayne Bridge has been playing well and this team has a fantastic spirit and for this reason we won this game.
'It was a difficult game because Chelsea is a fantastic team and has played for many years in the Champions League.'
Chelsea 2 Manchester City 4: John Terry shunned by Wayne Bridge as Carlos Tevez and Craig Bellamy humble nine menManchester City defender Wayne Bridge REFUSES to shake John Terry's hand as the pair come face-to-face for the first time at ChelseaHead to head at High Noon: All eyes focus on just two men - Terry and Bridge