I have followed the instructions found here and here. Also:
- I am using Orchard Orchard v.1.7.0.0
- I am hosting in a Windows Azure Website
- I have setup Remote Blog Publishing and XmlRpc.
- I have tried the all three domain names that point to the website.
- My actual blog name is http://www.muddlingthru.com/we-re-all-just-muddling-thru
Here is an image of my attempt to add the blog.

Windows Live Writer says it "was not able to automatically detect your blog settings." So, I try to do it manually as follows.

Windows Live Writer says, "Invalid Server Response - The response to the blogger.getUsersBlogs method received from the blog server was invalid."
I have already setup Remote Blog Publishing and XmlRpc as follows.

Is there anything else that I need to do? For instance, when Windows Live Writer asked for the "Remote posting web address for your blog," it has a template like this:
http://<hostname>/<mw-script>
That I fill in like this:
http://www.muddlingthru.com/we-re-all-just-muddling-thru
I suspect I might have the incorrect remote posting web address.
The blog account must be the url of your blog, not of a blog post. It will then detect special metas that indicates the /XmlRpc url that implements MetaWeblog API.
You can also configure it manually choosing Metaweblog provider.