There is no fear of microphone in particular. However speaking in public can be a phobia.
The term for giving a speech is called "oratory" or "public speaking."
Aibohphobia
The human fear of dogs or rabies is called: Cynophobia.
The thing you stand behind when giving a speech is called a podium or a lectern.
It is called a Eulogy.
Anxiety about giving a speech, also known as speech anxiety or glossophobia, is a common fear that can cause physical and emotional distress. Symptoms include a racing heart, sweating, trembling, and difficulty speaking. Techniques such as deep breathing, positive visualization, and practice can help manage and overcome speech anxiety.
I am filled with apprehension at the thought of giving a speech. Apprehension means anticipation of adversity or misfortune; suspicion or fear of future trouble or evil.
PANTOPHOBIAMain Entry: pantophobia Part of Speech: n Definition: a fear of everything; also called panphobia Etymology: Greek pantos 'all'
It is called quoting (or to quote) the person and you should do also giving acknowledgement to the person and in which work he wrote it.
glossophobia
"Fear" can be either a noun or a verb.
giving a speech