I think I finally got it, after hearing 1000 times.
Long story short: in ground state and some similar,
electron's wavefunction is spherical, with a nucleus being at the center, which is exactly what can be considered a "collision".
The difference is that there're no such quantum numbers onboard both an electron and nucleus that would allow them to, say, annihilate, like in a case with positron.
Therefore, they're basically ignoring each other; except for EM interaction, of course.
And the shapes of orbitals? Well, they depend on just a kinetic energy of an electron.
..So, yeah :) question is, how incorrect is that.