Okay, so you need to make the quick more clearly a quick. Probably the thing to do is start thinking about the step earlier, before the previous one is over.
Let's say you are doing the classic two walks side close SSQQ. On the second slow walk with the right foot, you need to start leading towards the first quick the minute your right heel lands on the floor. Specifically, you need to roll your weight through this foot quickly to the toe, and start pressing up out of the toe and lifting the heel before your body fully arrives over the foot. What you are trying to do is direct the aim of the step "up" towards the quick before she can move away from you in a flat direction that would become yet another slow. The amount of pickup is not as pronounced as it would be in a waltz swing, but it's still there and the timing is as fast.
I know your difficutly was with SQQ steps, but concentrating on making the first quick more intentional in the easier SSQQ pattern could start to find the solution, and it gives you the chance to jointly experience the difference in feel between a flat slow that will be followed by another slow, versus a rising slow that will be followed by a quick.
If you wanted to apply this to a twinkle in SQQ time, you would use the same rising heel action on the left foot slow, so that the body swings the right foot up to a quick, rather than moves level for a second slow.