Working quietly and not liking instant messaging interruptions

I have a ton of content to put together for work. It's not difficult work. It's volume. I need to have my work done in over a week's time. I simply like to work quietly without any distractions.

I have a love-hate relationship with instant messaging. Getting messages from folks while I am doing a ton of work throws me off.

At work, we have two messaging apps. We use Skype for Business and Microsoft Teams. I am only on the former because my boss does tabs on when people log on and off. It's sad, but it's a virtual punch card machine.

I work enough hours that I don't really care. I get messaged often, which I don't enjoy. I am the longest-serving employee within our group, so I have a ton of knowledge. Everybody thinks that their work is important. Meanwhile, they don't realize that they may be interrupting work that I am doing that is important to me.

I only log on to Microsoft Teams when I have meetings. I haven't figured out a way to block people I don't enjoy working with yet.

Anyway, there is one project manager who has rubbed me the wrong way for at least two years. I have told her countless times that I prefer e-mails than instant messages. The former gives me time to think. I also write back with details.

She can't absorb e-mails. She wants everything quickly and continues to communicate with me through instant messages. I hate all of that.

I let her know that I am super busy. I copied two of her colleagues who know just how swamped I am with work. They also happen to be my past and present project managers on my team. I let her know calmly that I have shared everything with her and don't have an answer on how she should communicate to folks asking about software delivery. I am simply the person who put the contents of a document together. Delivery of this document is out of my scope once it is published.

Meanwhile, she makes it such a big deal to call and instant message me. If my status says that I am offline and she can't reach me, it's because I'm offline. I don't know what is so unclear about that. If telling her three times that I prefer e-mails doesn't sink in, that's her problem.