His biggest problem is that Rossi now knows his weak point and how to get inside his head and knows how to beat him. The pressure of appears to be getting to Marquez and he has let it show. Did he honestly think that Rossi was going to back off, many other riders would have, but not Rossi. If he did think Rossi would back off then he has learned nothing in 2 years in Motogp.
I was surprised that he complained because if the roles were reversed he would have done the very same to Rossi.
The one thing I have always admired about Rossi is he does not complain about others if he is beaten nor he does not whinge about the machinery (compare him to Cructhlows Ducati whinging and Rossi when he was with Ducati.
Whinging will not adhere you to fans (Stoner was a classic example) and Rossi is a master of getting fans on his side. He is one of the best I have seen at playing the crowd, even way back when he thumped Biaggi on the stairs he showed Biaggi that he was not a one to take crap from anyone on or off the track. He is a household name probably more than the likes of Joey Dunlop and Barry Sheene were.. Watching him speaking to Suzi Perry at Goodwood today and seeing fellows like Ken Block (who himself is a master of the media and playing the crowd) looking to have a selfie taken with him shows the shear popularity of Rossi.
Marquez would be well advised to learn from Rossi and not just be good on the track, but just as good off it.