Hello Kamigumi,
I understand your concern and will assist you to resolve this issue.
A quick question before proceeding:
Do you experience this issue only when you try opening embedded files from Word or even with other Office applications like Excel or PowerPoint as well?
1) Let's take back up of the entire registry and delete the following registry keys:
Refer to the following article for instructions on how to back up the registry:
http://windows.microsoft.com/en-us/windows/back-up-registry#1TC=windows-7
a) Hold Windows key + R.
b) Copy and paste, or type the following command in the Open box, and then press Enter:
regedit
c) Navigate to the following location
HKCU\Software\Microsoft\Office\11.0 &
HKLM\Software\Microsoft\Office\11.0
d) Right click on delete the above registry entries.
2) Now repair the Office 2013 and then try opening the embedded files from Word and verify the result.
http://office.microsoft.com/en-us/excel-help/repair-office-programs-HA010357402.aspx
3) If issue still persists, let's completely remove Office 2007 and Office 2013 by running 'Fix it' from the following articles.
How to uninstall or remove Microsoft Office 2007 suites
http://support.microsoft.com/kb/928218/
(Method 2: Uninstall Microsoft Office 2007 suites with Microsoft Fix it)
How to uninstall Office 2013 or Office 365
http://support.microsoft.com/kb/2739501
Note: Save the ‘Fix it ‘before running it if you’re working on 64 bit Windows.
4) Re-install Office 2013 and then try opening embedded files from Word document and verify the result.
I hope the above suggestion helps you in resolving this issue. Reply with the result and I'll be happy to help you further.
Thank you.