A desperate father searching for his runaway daughter gets caught up in a murder case — and stumbles upon secrets which could destroy his family for good.
I finished the entire season amd no dogs are harmed. In the first episode, a dog is “dog-napped” but is unharmed. The dog is taken as a ruse to meet the owner.
Without spoilers : a man is attacked and beat up while working out in the gym. It is very graphic and bloody and the man who was beat up is shown in flashbacks several times.
There are no trans people who are deadnamed. However, there is a cult that gives new names to its members, and it doesn't always seem to be entirely voluntary. So not quite the same, but exertion of power through (mis)naming people happens