Rather than asking her to remove herself from a joint account, Why not close that account and open one in just your name? You've paid all current bills. Like changing the locks, maybe it's on you to set up a new online banking to pay your bills.
I don't think her reaction is great, by any means, but given the break up situation, she's angry. And your demands seem a little offputting to me.
If you broke up with her, and she's not happy about it, then expect some anger as she processes the loss.
At least she's not being threatening (or is being careful to not do so) on the text exchange. She sounds offended and shocked that you are attacking her character by implying that she would steal from you based on withdrawing her paycheck, which I assume is auto-deposited into your joint account.
Has she stolen from you in any way before? If not, then your texts seem a little impatient, distrusting, hostile, and preemptive. I'm seeing a side to you, real quick.
No need to twist the knife. Setting the boundaries is enough. You're keeping the apartment, the pets/fur babies/joint account also? But she is supposed to extract herself and leave with nothing out of the time together than her stuff?
You don't sound very generous or fair, really. You sound a little entitled. Just my opinion. I don't feel comfortable feeding your self-pity, no matter how well-earned, because I don't see it as healthy, so this will be my last post on your thread.