Here's what rhymes with intuitively.

Consider these alternatives

understood / would comprehend / went infer / her perceive / leave innately / greatly plainly / mainly deduce / use suppose / those generalize / size empathetic / magnetic logical / biological sensed / against understand / hand presume / whom retrospect / effect intuited / imputed intuition / position concisely / precisely creatively / qualitatively counterintuitive / intuitive conceptualize / size believable / feasible