The bus driver could be described as "Vigilant" or "Fast-reacting", but not "Heroic".
It also looks like it could well have been an accident. That's not to say I think much of the jogger, he's clearly an oafish idiot (at least at that instant) for barging into the woman and knocking her over, but it doesn't look like he deliberately pushed her in front of a bus.
I was once out in London with a mixed group of Brits and Americans, and one of the Brits grabbed and stopped a young American who was mid-stepping out in front of bus. She had looked the wrong way. It was a talking point, her life had almost certainly been saved, but the Brit was not a hero ... simply vigilant. A hero would have had to put their own life at risk to save her, e.g. running out into the road to drag her back.