* Often error 80070005, ‘Access Denied,’ is caused by the security software running on your computer.
You can try turning all off and try the updates again.
Note: Please make sure that you turn everything on once you finish running the update.

* The error code 80070005 can also mean that you do not have enough permission to install updates.

* You can also try to reset the Windows update components by following the below link:

How do I reset Windows Update components?

Use the Fix-it in the article and check if it works.

* You may also refer the below thread in which another user had the same issue.
You can try different potential resolutions stated in the thread:

Windows Update Error 80070005 - Microsoft Answers