Are my worries for no reason?
When you are handling substances like this, worries are never for no reason. If people are not worried about handling methylation agents I tend to point them in the direction of reported injuries etc.
You probably didn't inhale a great deal of MeI, look at worst case scenario. No reaction, no destruction of MeI during work up so all MeI going in may come out again.
Most of the residue would have ended up in the solvent trap for the distillation.
I tend to use freebase amines to quench methylation reactions. I avoid MeI because it disproportionates during storage and prior to use you have to remove the I
2 before you can begin the reaction.
If you are concerned, speak with a Doctor of Medicine.