Quite enjoying the new series. Bishop is providing the humour - much needed in present times. The alien race trying to save mankind are the Luparians - fittingly dog-like creatures, ergo mans best friend.
As for 'Wokeism' - well, at the moment, and unless i have it all wrong (quite possible), it appears to be both a bit 'Woke' and 'anti-Woke'. The Flux, devouring planets faster than i can shift a Turkish Delight, appears to represent 'Climate Change' while the Sontorans are hell-bent on re-writing Earth's history. The good old Doctor is trying to prevent both. Hurrah!
As for "How many times can the Doctor save the world?" As many times as it takes, fortunately. Superman is too busy saving America.