I've had cats for 30+ years and never once had there ever been a sub and dom type of relationship. I think the reference to the cat here is that her girlfriend comes and goes on her own time frames exactly like a cat that is let to go inside and outside. Frankly, I get tired of this whole dom/sub thing these days as it never really results in a happy relationship unless it is very light and a dom never pushes the other to only do as she wants, never letting the sub choose for herself what she wants, which is what you see in many manga comics these days, even forced sex.
I like this one cause its not one blackmailing the other, she's just forcing her to face the facts. She cannot wait forever for the other to stop overthinking it. But she never said they should break up, so there was no blackmail. I love slice-of-life yuri as well as girl's school love stories, the whole wide gambit of yuri story types. There are so many good yuri stories out there that I can pass on the violence, rape, and blackmail stories that I have no interest in. I saw enough torture and violence as a child to last me a 100 lifetimes, don't need an ounce more. I try to spend my time enjoying great yuri and trying to spread the enjoyment of it more here in the U.S. where censorship reigns and homophobia is king, though we are steadily and slowly changing it (though Trump tried to set it back decades!).