Instagram generally requests that search engines like Google do not index the content of users’ photos and videos from stories, reels, posts and highlights. However, we allow search engines to index photos and videos from public reels and posts from January 1, 2020 onwards from certain accounts that meet certain criteria, including but not limited to:

If your account meets the criteria above and you don't want public photos and videos from yourInstagram reels and posts to appear in search engine results like Google, we suggest that you:

It may take time for these sites and third party search engines to de-index and remove your public photo and video content, even if you delete your account. Your profile information, including your username, profile picture and bio information, may still appear in third party search engine results.

Find more information on removing an image from Google's search results.