No, it isn't morally repugnant and the scenario you are painting is exactly the same as saying someone's parents are morally horrible for not forcing their smart child to be a doctor. Besides, following your logic, the comic book version of Martha and Jonathan were as horrible for encouraging their son to have a life and a career outside of being Superman, as while he is writing that expose someone he probably could have saved drowned somewhere. Or how dare he have romantic life, is him finding companionship really that important when he could be helping with that traffic accident.
Once you make the position that the fact Clark has those abilities is to save everyone he can, you basically state that he should not do anything else else he is acting morally wrong. What Martha is saying that Clark, the man, should not allow the world to tell him who he should be, but that he should find his own path. That is literally what is said in that scene. Besides, it is odd that we are arguing a scene to this depth considering we have no idea what is context for it in the actual movie as I've seen arguments this scene probably takes place before the senate hearing scene in the trailer.
Clark is straight up letting people die who he can save, and that's a breach of a moral duty, That's akin to a doctor refusing to perform life-saving surgery because the Wire is on TV. But this is different, because Clark isn't just starting at someone while drowing when he had a chance to save them. There's also the scale Clark is allowing people to die. Let's say I could be the best cardio surgeon in the world. How many more lives does that save, relative to whatever person's spot I'm taking? Hundreds, let's say, over a decade? Clark lets hundreds of people die a day in natural disasters.
There's no equivalence here besides a false one.
There's a difference between making a very complicated causal argument - "You have the ability to save people if you become a doctor, a decade from now, relative to who would be the second best doctor in the world if you were in the profession" - making a more immediate argument - "You are the best doctor in the world right now, but you won't perform surgery on this person even though it is within your means because [reasons] - and making the immediate argument on a scale corresponding to what Clark Kent as Superman can do - "You can save hundreds of people a day in accidents, natural disasters, etc., but won't do it because you don't want people in the media to be mean to you."
There's the obvious argument that Clark would just outright go insane (cf. the take on this in Irredeemable) if all he did was save people 24/7, but that's totally different from Clark just not doing it because people are mean to him.
I think it's morally wrong for people not to save innocents when it's 100% within their means and it will cost them almost nothing to do it. I think it's morally repugnant when people refuse to save thousands of innocents when it's 100% within their means and it will cost them nothing to do it. And Clark's absolutely in this boat, both because he can save these people, it will cost him nothing if he does save it, and the counter-argument he's offering is that he doesn't want to do it because people are being mean to him in the news or, alternatively, becuase he's uncomfortable being placed on a pedestal as a demi-god for saving them.
Unless the context of that scene is "Everyone is asking you to become the absolute dictator of the world and impose a military police state", it's hard to find a justification for the conversation even seriously taking place.