This also works in reverse. If you are a West Virginia licensed driver and you are convicted of a DWI / DUI / OWI / OVI in another state, West Virginia will revoke your license when it learns of your conviction.
I am licensed to drive in a state other than West Virginia and I was cited for a DUI in West Virginia. Will my driver license be revoked or suspended?
The 2013 West Virginia DUI Information Website
Yes. You have an absolute constitutional right to represent yourself on any criminal charge no matter how serious including an West Virginia DUI charge. Keep in mind that WV DUI law is complex as shown by the information in this website. If you cannot afford to hire your own lawyer, you definitely should apply for a court appointed attorney. You have no right to court appointed counsel at any hearing challenging your implied consent license revocation.