Sending polarerized light through light fiber that is all jumbled up.

Say we have laser light propagating in the +z direction and polarized in the x direction that then enters a fiber optic cable. Let the fiber optic cable, of some length, be quite jumbled up so that the light photons are guided in a crazy path, kind of like a jumbled up ball of string. Let the twisting and turning of the fiber cable be gental so that the light propagates forward with little or no reflection or attenuation. Let the light from the fiber optic cable reemerge propagating in the +z direction, is the light still polarized in the x direction?

Thanks for any help!