Taking the Q on face value ~ With one engine inoperative, it is likely that reduced flap is used, with increased LDR with higher approach speed.
The airport needs to declare the reduced distances and the reduction in fire category, unless declared "closed" ('black flag')
AC commander's decision (TDODAR/CRM), once you make him aware of situation. "Delay not determined" due to blocked runway?
Most likely decision is to divert?
This doesn't seem like a catch Q.
Bottom line: notify the crew information on behalf of the Airport Authority as to the situation.
Let the crew tell you as to their intentions. The company's preferred diversion airfields will be on their jetplan.
Keep it simple.
ATC cannot divert aircraft, unless instructed by HMG in UK airspace to do so. Protocols apply.