bug作动词有使烦恼的意思，别烦我就是stop bugging me。

【例句】
Could you leave me alone? I am exhausted now.
你能别烦我吗？我现在精疲力尽。

Well, ever since she helped me get this job, she won't stop bugging me.
自从她介绍了我这份工作她就一直不停地烦我。