Hi,
According to your description, my understanding is that you want to make Office 365 as the default program for opening Office files instead of Office 2010. Am I right? If yes, you can also follow the steps to change the open option.
1. Right-click a document, click Properties.
2. On the document properties page, besides Opens with, click
Change.
3. On the Open with page, select the Word 2013.
4. Click OK.
Reference:
Change which programs Windows uses by default
http://windows.microsoft.com/en-in/windows7/change-which-programs-windows-uses-by-default
If I misunderstand something, please feel free let me know.
Regards,
George ZhaoTechNet Community Support