The ambulance should have never been left alone. External ambulances driven by medics without airside driving permits and the associated training are at serious risk of putting themselves and their patients in danger and are a hazard to all airport staff and passangers.
Of course, the provision to get external emergency services into the airport quickly is essential and there must be a robust procedure in place to deal with such an event.
As an example, at Manchester there is some good practice in operation, there is a local arrangement for the Police to escort all external ambulances along the airside road system as the airport police all hold AOA (road system) permits and some hold Permit B (manoeuvring area – free to roam). The police are then responsible for staying with the ambulance and ensuring that it gets back off the airfield, with the casualty, in an expeditious and safe manner.
In the event of a major incident Airfield Operations are responsible for escorting all external services and will request the appropriate ATC clearance if required for taking escorted vehicles onto the manoeuvring area.
A close escort vehicle that’s positioned behind you is about as much use as a trap door on a lifeboat (much like an internal escort with no High Vis). They should have been ahead of you at all times and if necessary they should have been able to escort you along a taxiway to prevent you from getting stuck behind an aircraft with a poorly patient on board.
I would consider what you have described to be a total failure of the procedures that should be in place. I would write it up and report it to your boss, the airport’s safety manager, the airfield operations manager, the emergency planning manager and would even include the SRG of the CAA (the aerodrome inspector would not be happy with this sort of failing at all).
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If something is happening that shouldn’t be – put a stop to it!
The UK has a very positive safety culture of open reporting and ‘no blame’ so you have nothing to fear from speaking up.