النِّسَاءُ is the subject; حَبَائِلُ الشَّيْطَانِ is the predicate. Within the latter, حَبَائِلُ is the first term of a possessive phrase and الشَّيْطَانِ the second: “snares of Satan.”
حَبَائِلُ is plural. A snare is a trap that catches its target; this concrete picture expresses the danger of temptation. The expression is a striking warning, not a report identifying every person’s inward intention.
In practice, a person should guard their gaze, motives, speech, and actions, and should not allow attraction to become a pretext for lying, betrayal, or violating another's rights.