The Scot has been called a "drama queen" amongst other things by the likes of John McEnroe, Virginia Wade and Tommy Haas for the way he has dealt with an ongoing back problem in the run-up to this year's SW19 tournament.
And, as sensational as his 6-1, 6-1, 6-4 victory over the former World No.3 was, Murray knows he still has to convince his critics that he is capable of disrupting favourites Novak Djokovic, Rafael Nadal and Roger Federer to become the first home winner of the men's singles at Wimbledon since 1936.
"If someone doesn't want you to do well, then it's nice to play well," said Murray, who took just one hour 35 minutes to dismantle the Russian on Centre Court.
"But I don't think this win stops that. The way that you stop getting asked questions or have people doubting you is by playing tennis and winning tennis matches. That's what I need to do for the rest of the tournament.
"I just wanted to go out there, play well, keep my focus, and not worry about the other stuff that goes on off the court around this time of the year.
"I think I did a good job of that. It is time to let the tennis do the talking."
The Scot himself admitted he was racing to beat the weather as well as his opponent.
A rain shower hit south west London shortly after the match was completed, even though it would have been played to a finish under the Centre Court roof in any case.
The world No.4 said: "Once I had the momentum I didn't want it to stop because of the rain or having the roof on.
"I just wanted to try to get off the court, if I could, as quickly and efficiently as possible. And I did it."
Murray is likely to face Ivo Karlovic, the big-serving 6ft 10in Croatian in the next round, with him two sets to the good on Israel's Dudi Sela when rain intervened.
The 25-year-old said he was an opponent who brings his own challenges. "It's very hard to get into a rhythm against someone like that," said Murray. "He's made it very difficult for a lot of players over the last five, six years because he serves so well, and makes you feel pretty uncomfortable on the court."