This clip from The Big Bang Theory Tells you almost all you need to know about the difference between resilient and resistant.
We see Sheldon, Leonard, Raj, and Howard with a complex logic problem mapped out on the white board in Leonard and Sheldon's apartment. It turns out that they are trying to choose a restaurant and a movie theater for that night's entertainment. The reason the process is so involved is because Leonard, Raj, and Howard are trying to satisfy Sheldon's demand that the theater has an Icee machine and sells Red Vines at the candy counter. They try multiple alternatives, all of which are met with Sheldon's resistance. Finally, they reach the only conclusion: leave Sheldon at home and go out without him.
Leonard, Raj, and Howard are resilient: they just want to get something to eat and go see a movie. Sheldon, who once commented that "as long as everything is exactly the way I want it, I can be flexible," is being resistant: he's willing to forgo dinner and a movie with his friends rather than settle for Twizzlers and a Slurpee.
If you've watched The Big Bang Theory from the beginning, you know that there are a lot of moments like this, where plans for an entertaining night are stymied by Sheldon's truculence. You wonder why they're willing to put up with him, an d the answer is simp[e: they're his friends.
There are good reasons to be resistant. Everyone has the hill they're willing to die on, although not necessarily over Red Vines and Icees. Sheldon is an extreme case, but we all do this. If you feel comfortable sharing, leave us a comment and let us know.