Pfft. You don't think Three can do anything Two can't?
I'm riffing on Two's "you don't think there's anything you two can handle that I couldn't" bit from Five Doctors. But on a wider scale, I don't see any incarnation of the Doctor as stronger or weaker than another. The Master thinks like that "if the Doctor can be young and strong...." but even Missy admits in her retelling of the Doctor vs the Invisible Superstrong Android Assassins that it could be ANY version of the Doctor because they're all the same.
It’s the downside to making the Doctor more human in recent years. The ‘lonely god’ stuff is also annoying, but at least it made sense insofar as there were no other Time Lords.
The books always played into them as the oldest race, and particularly with the Doctor the idea that they were a bit like Tardis themselves. Their body something of a shell extruded into our dimension, a shadow of something more complex. Which again is a bit OTT, but is really just a way of explaining how different they are.
Boom tried for it with ‘I’m a complex space time event!’ but it didn’t entirely land because it’s been a while since we saw what that could mean. Moffat of course was big on it, with him having the Doctors grave on Trenzalore essentially containing a scar on space/time. (Which was in part lifted from the books anyway) And RTD had his ‘fixed points in time’ that he introduced, along with the idea that only a Time Lord could really mess with those. (Before having Time do its own thing, and put the Doctor back in his place.)
Fundamentally though, the Doctor is basically a demigod, almost in a classical sense — down from Olympus (Gallifrey) to interfere with the mortals. (It’s a constant thing in Who. Think of the ‘Game of Rassilon’ and compare it to films like ‘Clash of the Titans’)
It doesn’t matter that he currently looks like a five foot four tall shoe salesman, as you long as you believe that beneath it lies an old god.
Something Smith and Capaldi did very well.
Something I have so far yet to get from Gatwa.
But then, RTD is not the best for writing that, though he managed it more with Ecclestone than any other time he wrote the Doctor. Or maybe it is down to portrayal, and that’s why we mostly saw it in Tennant when he was being manic at the end of his first run.