Office 2010 !?!
Just messing with you, sounds like MS have fundementally changed something within Object Linking and Embedding but I couldn't tell you what.
Best I can suggest you try is to run Winword in compatibility mode for Windows 7
Right-click shortcut > More > Open File Location, right-click on shortcut file > Properties > Compatibility (you could also try the troubleshooter first so it can pull and enforce recommended settings)
Other than that I'd agree with Gill if you don't want to upgrade Office, Libre is a fork of OpenOffice I believe so it should be pretty familiar.
I did come across a few installs of 2010 on machines at work and had to drag users kicking and screaming onto Office 2016 as it had to work with 365 as the old Exchange servers were being decommissioned.