The address you tried to hotlink looks like this:
[img]https://www.flickr.com/photos/93526746@N02/17529454315/[/img]
Which appears to be a page url of sorts, which cannot be embedded using the IMG tags. You would need to find the direct address of the file, which should include a file type extension, e.g. end with .jpg if it’s a JPEG.
Edit: I checked the link and it seems not to let me extract the file address. Maybe it's possible for you as the uploader to retrieve it - Photobucket makes it easier to do, and I seem to recall flickr being more tricky to access the actual file.