The rescue train arrived at London's St Pancras station at 0235 GMT on Monday.
She also foresees a spur linking Britain's only existing high-speed line (from the Channel Tunnel to London's St Pancras station) to Heathrow airport.
With passengers being warned to expect disruption for the rest of the day, trains were unable to run between St Pancras station in London and Luton in Bedfordshire.
It ground to a halt in Kent at about 2245 GMT, but the train brought in to replace it did not arrive at London's St Pancras station until 0235 GMT on Monday.
The Queen, accompanied by the Duke of Edinburgh, will open train company Eurostar's new terminal at St Pancras station and also the completed Channel Tunnel Rail Link that has enabled Eurostar trains to start and finish journeys there.
The tunnel served the Butterley ironworks, near Ripley, which at its height employed 10, 000 people and provided much of the metal for St Pancras railway station in London.
BBC: Butterley tunnel gets Scheduled Ancient Monument status
Just behind Kings Cross station lies St Pancras cemetery, home to St Pancras Old Church, which has been a site of Christian worship since the 4th Century.
Eurostar is switching its terminal from Waterloo station to St Pancras and will be offering quicker journey times on services from London to Paris and Brussels.
Remember that the Eurostar station at St Pancras International does passport checks prior to departure, which can surprise travellers expecting the customs process to take place at arrival.
This will close on 8 December 2007 and a new underground station will open at St Pancras to accommodate longer trains.
The company said a reduced service was operating from Victoria station, and advised passengers to use Charing Cross, Cannon St, London Bridge and St Pancras stations as alternatives.
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