That is the link to the Google Drive image viewer, rather than a link to the image itself. If you check the URL for the image when you visit that link, you get an URL like:
blob:https%3A//drive.google.com/32efcf38-d7e6-4656-9046-eede4c4880f9
That's not useful. You need to do a little URL manipulation of your original URL to be able to hotlink it. You need to take your original URL, which looks like this:
https://drive.google.com/file/d/{file-id}/view?usp=sharing
And change it to this:
https://drive.google.com/uc?export=view&id={file-id}
So, in your specific case:
https://drive.google.com/uc?export=view&id=0B-NH9wCC0oM4U2x2WTZ3ZkJ1a1k
And now you should be able to see your image:
![](https://drive.google.com/uc?export=view&id=0B-NH9wCC0oM4U2x2WTZ3ZkJ1a1k)
Of course, the "sharing" setting for the image must be set to "public on the web". (Which you've already done.)
![Google Drive share menu](https://i.stack.imgur.com/lDCaR.png)
This URL manipulation is completely undocumented in the Google Support documentation. As such, you are duly warned that this method may stop working. You might want to find a more stable image storage solution. Imgur is purpose-built for this sort of thing, but there are plenty of other alternatives.
Credit where credit is due: I found this solution on the Google Operating System blog, which in turn found it at this question on Stack Overflow: Displaying files (e.g. images) stored in Google Drive on a website.
Best Answer
You're probably aware that you can disable or remove the app by visiting https://[YOUR_TEAM_NAME].slack.com/apps (search for app, will give option to disable/remove top right). But this applies to the entire team which may not be your intention.
Maybe you can create a throw-away google account you don't use for anything else just so it stops asking you?