Are you able to circumvent the repair? As in when it asks to repair, click Cancel, and see if it'll continue loading? Also try and press F8 at startup (as in repeatedly press it after you turn on PC) to bring up boot menu and tell it to boot normally, as that may weasel around the repair attempt as well. If you see the Windows logo, you pressed F8 too late.
If you do manage to sneak past the repair attempt but Windows fails to boot up properly and either shows a blue screen or reboots, then it looks like Windows Update conked out and messed up Windows in the process. You'll wanna follow instructions here
as well as here
. You basically are wanting to run chkdsk to clean up any potential filesystem issues and then follow up by doing an sfc scan to try and repair any existing Windows files that may be messed up.