The expression "delicate procedure" is correct and usable in written English.
You could use this phrase to describe any procedure that requires care or precision. For example, "The doctor had to perform a delicate procedure to remove the tumor."
But introducing two large carnivores is always a tense and delicate procedure".
The managers were powerful when he arrived, and extracting them from the business of running the farm was a delicate procedure.
Asked if he could actually work with that kind of music, he replied, slightly sheepishly: "Well, that's not the music you want when you're in the middle of a delicate procedure.
"Fasciectomy is a delicate procedure that requires meticulous technique," said Dr. Steven Z. Glickel, director of the C.V. Starr Hand Surgery Center at St . Lukes-Roosevelt Hospital Center in New York.
Grills are indeed delicious, but the odor is a good deal less appetizing the following morning, or the day after that, or when you next use the oven for a more delicate procedure.
If you are a surgeon and you leave your glasses behind on the way to the operating room, then botch a delicate procedure, you can't convince a judge that the resulting death wasn't your fault because you couldn't see well.
Vascular surgeons perform numerous highly sophisticated and delicate procedures.
Surgeons are increasingly reliant on 3D images to carry out complex and delicate procedures.
Piezosurgery has increased security during surgery, especially for delicate procedures associated with a high risk of nerve injury.
Ultra-sharp scalpels used in delicate procedures like eye surgery are still crafted by hand from volcanic glass called obsidian.
Radiologists and neurologists wrote papers in support of Voxel's technology for helping surgeons visualize and prepare for delicate procedures.
