in·tu·i·tion
1. direct perception of truth, fact, etc., independent of any reasoning process; immediate apprehension.
2. a fact, truth, etc., perceived in this way.
3. a keen and quick insight.
4. the quality or ability of having such direct perception or quick insight.
5. Philosophy.
a. an immediate cognition of an object not inferred or determined by a previous cognition of the same object.
b. any object or truth so discerned.
c. pure, untaught, noninferential knowledge.
6. Linguistics. the ability of the native speaker to make linguistic judgments, as of the grammaticality, ambiguity, equivalence, or nonequivalence of sentences, deriving from the speaker's native-language competence.
psy·chic
1. of or pertaining to the human soul or mind; mental (opposed to physical).
2. Psychology. pertaining to or noting mental phenomena.
3. outside of natural or scientific knowledge; spiritual.
4. of or pertaining to some apparently nonphysical force or agency: psychic research; psychic phenomena.
5. sensitive to influences or forces of a nonphysical or supernatural nature.
–noun
6. a person who is allegedly sensitive to psychic influences or forces; medium.
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I think these definitions clear up the confusion a bit. Hope they helped you!

I can see how the thin line that separates them can be easily blurred.