This stream of code that you get - does it look something like this?
Code:
<a href="http://www.flickr.com/photos/27182229@N07">Recent Photostreams</a>
If so, that is the HTML code behind a link. You usually don't need to work with the HTML code directly. Assuming your email client is able to create HTML mails, it should just be a case of saying "insert link", so without more details about your client, I don't know what more to tell you.