First the electron would still be too small to see no matter how much you enlarge. But this doesn't matter. The electron forms a density cloud, basically all the electrons do that. These clouds repel, and since everything is made of them nobody notices that the electron is so small. This can only be seen, if you use something very small to probe where the electron is, (for example a very fast electron, that is not bound to a nucleus does the job)
Another way of getting a feel for it is with magnets. If you have two magnets on a rail that repel each other and you are pushing one of them with a magnet, then the other one will be pushed too. Now imagine solids are big 3d grids of nuclei with forces that try to keep them always at the same distance (due to the electron density clouds). If you have another grid like that colliding with the first they behave like solid objects, even though its just large numbers of little nuclei that try not to get to close.
All of this is of course full of inaccuracies, for the real picture you need electrodynamics and quantum mechanics.