'it annoyed me that' is correct and usable in written English. You can use it when you want to express your annoyance about something. Example: It annoyed me that my boss made me stay late at work.
It annoyed me that he was talking about that moment.
It annoyed me that Chitra had instilled in them such fear.
Mr Loveday said: "It annoyed me that he … was arrogant to think he was better than me but I find that happens in London".
"This had just been conveyed by the military attaché and it annoyed me that there was nothing one could do about it," he wrote in the letter, dated Monday.
This is what York calls its "offer" to the companies it hopes to attract, and it annoys me that London doesn't need to trouble about "an offer".
"It annoys me that the guys are louder," Lozano-Hemmer added.
"It annoys me that that's the only image of gayness you get on television normally.
Thanks to Ludwig my first paper got accepted! The editor wrote me that my manuscript was well-written
Listya Utami K.
PhD Student in Biology, Bandung Institute of Technology, Indonesia