First (non-EU) leg of flight to Brussels was cancelled. What cancellation compensations am I entitled to?

My girlfriend, an EU citizen, is travelling from Sydney back to Brussels with a connection in Doha. What she booked was one trip, but Qatar Airways split it in two: Sydney - Doha then Doha - Brussels. She's not supposed to leave the Doha airport.

The Sydney - Doha flight got cancelled because of a system failure in the airplane. Her flight Doha - Brussels is not cancelled.

When I'm looking for information about the whole situation I only land on Qatar Airways' "EU Air passenger rights" page that speaks only about flights regarding the EU airspace, not EU passengers.

Since she can't make it to the Doha - Brussels flight because of a failure in the first flight from the same company, is she entitled to compensation as usual, as described by the EU's Flight Compensation Regulation EC 261/2004? If not, what is she entitled to?

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Does EU261 apply to non EU airlines?

EU261 Rules Are Now Applicable To Non-EU Carriers Operating For EU Airlines. Non-EU airlines must comply with EU261 rules if they operate a flight for an EU-based airline.

What are my rights if one leg of my flight is Cancelled?

You can get your money back for any part of the ticket you haven't used. So if you booked a return flight and the outbound leg is cancelled, you can get the full cost of the return ticket refunded. If you still want to travel, your airline must find you an alternative flight.

What am I entitled to for a Cancelled flight?

Refund entitlements for your flight The US Department of Transportation says you are entitled to a refund of your ticket cost because of a cancellation or "significant delay" and you choose not to travel. This is the policy regardless of the reason the airline cancels or delays the flight.

Can I get a full refund if one leg of my flight is Cancelled?

If your flight is cancelled. You have the legal right to either: a full refund - including other flights from the airline that you won't use in the same booking such as onward or return flights. a replacement flight to get you to your destination.

How to get compensation for delayed or canceled flights

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Andrea Piacquadio, Artem Podrez, cottonbro, Selmon Bajramaj