Dear Tamil,
Good day! Thanks for posting in the community. We are happy to help you.
For your query, if you choose to share the link by sending the email, I 'm afraid there is no built-in settings that can remove your email address from the shared email (in CC field). Based on the situation, you can post a suggestion in Microsoft Feedback Portal where other users also post their suggestions here. It's the platform for us to hear your voice and improve our products.
As a workaround, you can send the shared link to the user directly. Click the Copy button as shown in the image below, then send it to the user in other applications, like Teams.

Appreciate your understanding and patience.
Sincerely,
George | Microsoft Community Moderator