The electric field generated by a charged particle, such as an electron, does propagate through space at the speed of light. However, it's important to distinguish between the immediate presence of the electric field and the propagation of its effects.
When you create an electron, the electric field associated with it is established in its vicinity almost instantaneously. In other words, the electric field is present at the location of the electron itself without any delay. However, the influence of that electric field on other charges or objects in space will propagate at the speed of light.
This means that if you were to create an electron at a particular location, the information about its electric field and its effects on other charged particles or objects in space would only reach those other locations at the speed of light. It takes time for the information to propagate from the electron to other parts of space, indicating that there is a delay in the interaction of the electric field with distant objects.
This behavior is in accordance with the theory of electromagnetism, which describes the propagation of electromagnetic fields and their interactions with charges and other fields. It's worth noting that the same principles apply to electric fields generated by other charged particles or systems, not just electrons.