The electric field is an intrinsic property of charged particles, and it is influenced by their presence and motion. When a charged particle, such as an electron, is created or moves, its associated electric field will change accordingly. However, the effects of these changes propagate through space at the speed of light, not instantaneously.
According to the theory of electromagnetism, changes in the electric field of a charged particle are transmitted to other regions of space through electromagnetic waves, which travel at the speed of light. These waves are composed of oscillating electric and magnetic fields and carry energy and information.
Therefore, when you create an electron or cause it to move, the changes in its electric field will propagate as electromagnetic waves at the speed of light, informing the surrounding space about the presence or motion of the electron. Other charged particles in the vicinity will then respond to these changes in the electric field, but they will only perceive them after a finite time delay, determined by the distance between the particles and the speed of light.
In summary, while the electric field of a charged particle is intimately connected to its presence and motion, the information about its field changes propagates through space at the speed of light via electromagnetic waves.