I remember raising this subject before, and my choice would have been 'South Yorkshire International'.
'Robin Hood' will just confuse the average Johnny Foreigner because they'll think of the 'Prince of Thieves' film and assume it's near Nottingham. I guess they could have called it Full Monty Airport but that might have upset the folks at SZD.
Aircrew will probably abbreviate it to 'Donny Tower' etc but it'll be interesting to see what the real terminology is.
Personally I think it's great for the area (being just 20 miles away it'll be my nearest international airport) but my only concern is whether they establish a CTA and restricted airspace around the airfield, and the possible implications for Gamston why I fly from...
It may be operated like Humberside in the 'Open FIR' but I somehow imagine this won't be the case - anyone know any more?