Instagram generally requests that search engines do not index media. However, we allow Google to index media from certain accounts that meet certain criteria, including:

If you don't want your Instagram media or videos to appear on Google, we suggest that you:

It may take time for these sites and Google to re-index and remove the media, even if you delete your account. You can also contact the app that's displaying your photos on Google to expedite the process.

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