A QuickCapture of any kind cannot be put on a timeline; this is because a QuickCapture is a sort of timeline to QuickShow and a timeline cannot contain a timeline.
What you can do is to right click on the QuickFX, mouse to Effect, Copy Effect to get the effect parameters into your buffer, then click on the cue you want to apply that effect to (or, make an empty effect on the timeline) right click on the empty Effect area (under the preview window) and click Paste. This will put everything from inside that QuickFX into a new effect.