Nobody is going to be surprised to know that Hillinghead is gay (after all, isn't every man, but they just deny it? (sarcasm) Or so the woke crowd would like it ...) and one still doesn't know why so much time is wasted with the sexual life of this character instead of exploring time travel or whatever else this series is supposed to be about...
In this episode, an awful lot of time is spent with Hillinghead, his cavorting, and his discovering that the character nobody should talk about is Julian Harker, someone rich and well-connected. Not much of a discovery and not a big mystery. Moreover, it is hinted not so subtly that Harker does some time travel (He knows how to make a good investment! He knows secrets from the dead!) The audience already knows who Harker is, so not much of a surprise.
BTW the actor playing Hillinghead is only 12 years older than his fictional "daughter" Polly. How precocious in the sack was he? Anybody can clearly see how young he is to have such a grown-up daughter. Why cannot they cast actors of suitable age?
Elsewhere, another cliche is used, the "I know everything but cannot tell, so this story can be stretched to 8 episodes". In the 2023 timeline, the motherly detective is comforting the teenage suspect, getting zero information from him, except cliche hints such as "wait and see, it's not me but I know the whole story... blah blah blah..." Mother is suitably impressed and rolls her eyes super-wide (BTW why do they use her ugly still to illustrate this episode? Mother looks positively scary and demon-like)
In my favorite timeline, Whiteman tries to save the girl who saw him with the body. I'm watching this series only because I like this part of the story, the rest is boring/useless/ cliches.