I have gone back to my Hotmail as a separate account. Will just have to wait I guess. I have seen posts on Google as late as February 2017 with similar issues.
You should be able to
migrate that hotmail account to Outlook servers, and as far as I understand, the messages will be migrated. There is a procedure for that within Hotmail.com .
Look it up/google it.
One more thing. If I try to delete my Outlook account it tells me I will lose my Hotmail and Skype and.. !! What are they talking about ? How are they connected !!
Similarly to how it is done by Google with a single account all different services (Gmail, Youtube, Voice, ... ), Microsoft has introduced "Microsoft account", where presumably, from a single account you can access different MS-owned services, including Skype, Windows Store, and, apparently, Hotmail (I didn't know that last part, - but I am not using Hotmail myself).
So, if you are deleting an account, MS warns you that if you were using the same account for other functions, it will delete your access to those, not just to mail in Hotmail.com .
If you were using Skype with a separate Skype account, you'll have no effect on that.