Hmmm..... the blogger beta is not such a good idea... the "blog this" button from flickr doesn't work with blogger beta either.... well it does give you a half decent warning and link to change your blog setting.
The trouble is, you to have to delete the old blog setting and add a new one (there is no way to change your blog so I guess most folk will realise this is necessary eventually. It did take me a while to figure out)
As part of that process (if you have not already done it) you must grant flickr access to your google account so flickr can may make posts on your behalf. If you are worried about this sort of thing it will pay you to read the learn more link.