Not sure I have much time for anyone who could spend five hours whinging about a TV show, or anyone who'd watch someone whinge about a TV show for 5 hours. Way better things to do with my time.
Whittaker's Doctor is poorly written much of the time, but I've yet to see her do anything manifestly worse than other Doctors (Six literally murders Shockeye with poison, Ten imprisons his enemies for eternity in mirrors/scarecrows/black holes, Eleven nuked David Bradley, Twelve possibly throws robot man to his death, and as you stated Twelve is also showed zero empathy over the death of a child, and lets not forget the First Doctor being moments away from caving someone's skull in)
I'm not sure getting Daleks to kill other Daleks is a terrible thing, I mean isn't that exactly when Ten, Eleven and the War Doctor did in DotD?
Unmasking the Master was very clunky, but at the end of the day A/It's the Master and she knows he always escapes and B/The Nazi's had an actual Indian Legion, I think they'd be more concerned that the officer wasn't who he claimed to be than his race. Bad optics but, you know, fictional character and all that.
As for the awkward cancer conversation, this is the Doctor! I've seen the Doctor have many awkward conversations with people over personal matters, look at Eleven over Amy and Rory!) Most people struggle to know what to say in such a situation, why shouldn't that extend to a 2000 year old Timelord?