I dropped a database from SQL Server, however it turns out that my login was set to use the dropped database as its default. I can connect to SQL Server Man
To do it the GUI way, you need to go edit your login. One of its properties is the default database used for that login. You can find the list of logins under the Logins node under the Security node. Then select your login and right-click and pick Properties. Change the default database and your life will be better!
Note that someone with sysadmin privs needs to be able to login to do this or to run the query from the previous post.