Are there nonstop flights from London (STN) to Rhodes (RHO)?

Yes. Ryanair, Jet2.com, TUI Airways fly this route. Flight time is about 3h 46m.

What is the fastest connection from London (STN) to Rhodes (RHO)?

via Rheinmünster ≈ 4h 16m, via Thessaloniki ≈ 4h 16m, via Innsbruck ≈ 4h 16m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

London Stansted Airport (STN) to Rhodes International Airport "Diagoras" (RHO)・2,782 km

Nonstop flights available (3 airlines). Flight time about 3h 46m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via MUC)Economy, one way, estimate. Tap a connection for miles by cabin.

79 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.