To keep your name from appearing on your email responses, disable Personalized email replies. When enabled, the reply address includes the name of the agent or end-user who is replying. For example, when an agent adds a public comment to a ticket, the notification email to the customer includes the name of the agent in the reply address.
Note: Disabling personalized email replies only removes the agent's name out of the "From" field in the email address. The agent's name still appears within ticket comments. To stop the agent's name from appearing on ticket comments, add an agent alias. For more details about alias, see Adding an agent alias.