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

If you don't want your Instagram photos 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 images, 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.