Microsoft have just been through a rebranding exercise for their "database in the cloud". Formerly known as SQL Services, now known as SQL Azure - the database specific service is called SQL Azure Database. This ensures a consistent convention with the already named Windows Azure.
However, there is still one anomaly in the Azure Services Platform... ".Net Services". What's the betting that it will also go through a similar rebranding? But ".Net Azure" does not have a good ring to it and is also rather misleading as ".Net Services" is more middleware than .Net.
I think it should be along the lines of IIS Azure, borrowing from Internet Information Services.