Intuition can be secular. It is possible to conclude that the crying baby is feeling pain, or make many other types of hypotheses, without providing citations or using a religious framework.
That's too strict of a definition, in my opinion, and I don't understand how conditioning is related to the crying baby example. Intuition can produce incorrect judgments and doesn't need the person to be clueless. Here's a dictionary definition:
> (knowledge from) an ability to understand or know something immediately based on your feelings rather than facts