Twitter continues updating their suite of services and have now shipped an update to TweetDeck Web and Chrome which allows you to embed tweets directly from the TweetDeck interface instead of having to open the tweets separately.
You access the new feature by clicking on the More actions menu item (. . .) and selecting Embed this Tweet. A pop up then opens and presents the embed code to paste in your site.
Still no word on when the official Windows TweetDeck client will get this update or when the promised Windows 8 Official Twitter App will be out.