"quick rescue" is correct and usable in written English.
You can use it when you need to emphasize the need for a prompt action to help someone or something. Example sentence: The fire was quickly spreading, so the firefighters had to launch a quick rescue operation to save the people trapped inside the burning building.
At first, the shocked and traumatized group huddles on the beach near the plane's wreckage hoping for a quick rescue, until the twisted bits of metal and machine begin to shift and explode.
The United States has pointed out that its quick rescue of the financial system, front-loaded stimulus measures and delayed budget-cutting have helped foster 14 straight quarters of growth and a falling unemployment rate — even if the recovery has proved sluggish by historical standards.
Separately, a Yazidi MP has urged the quick rescue of members of her community who may still be trapped by IS in the city.
Others say that if a firm is by definition insolvent, unsecured creditors are unlikely to get their money back anyway, and that pre-packs allow for a quick rescue of the business and help secure jobs.
Even a quick rescue response may prove futile.
Trying to defend Brown, the city's mayor, Edward Parsons Smith, was lynched also, surviving only after a quick rescue.
I check with Alarmphone, an organisation that monitors the coastguards and pressures them into making quick rescues, to see whether they are already on the case.
Seven months later, senators may press Geithner to defend those words, as Citigroup becomes the latest imploding Wall Street titan to line up for a quick government rescue.
Mr. Cliggott, like several other fund managers and market strategists, assumes the onset of a sharp economic downturn and a quick, successful rescue effort by the Fed.
"However, they very quickly got to work and brought in a range of equipment including cutting and lifting equipment to effect as quick a rescue as we could of those casualties who were still in the vehicle".
Don't be too quick to rescue your child from the results of their own actions if the consequences are not overly severe.
