The issue presented is whether contacting another person via e-mail constitutes sufficient grounds for said person to obtain a protective order?
The answer is that it would be up to the Judge who hears your case.
As a general mater, pursuant to O.C.G.A. §16-5-94(a) A person who is not a minor who alleges stalking by another person may seek a restraining order by filing a petition alleging conduct constituting stalking as defined in Code Section 16-5-90.
O.C.G.A. §16-5-90(a)(1) defines stalking in pertinent part as follows: a person commits the offense of stalking when he or she ... contacts another person at or about a place or places without the consent of the other person for the purpose of harassing and intimidating the other person. For the purpose of this article, the terms "computer" and "computer network" shall have the same meanings as set out in Code Section 16-9-92; the term "contact" shall mean any communication including without being limited to communication in person, by telephone, by mail, by broadcast, by computer, by computer network, or by any other electronic device; and the place or places that contact by telephone, mail, broadcast, computer, computer network, or any other electronic device is deemed to occur shall be the place or places where such communication is received.
The Code Section defines “harassing and intimidating" as follows : knowing and willful course of conduct directed at a specific person which causes emotional distress by placing such person in reasonable fear for such person's safety or the safety of a member of his or her immediate family, by establishing a pattern of harassing and intimidating behavior, and which serves no legitimate purpose.