To impede or obstruct in a vexatious or intrusive manner is a phrase that can be used to describe the action of interfering annoyingly. This phrase is often used in situations where one person or group is hindering the progress or success of another, either intentionally or unintentionally. It can be seen as a disruptive or irritating behavior that can cause frustration and difficulty for those who are affected by it. In formal writing, it is important to use precise and concise language to convey your message clearly and effectively. By using specific phrases and terms, such as “interfere annoyingly,” readers can easily understand the intended meaning and purpose of the text.