Opposing Counsel has been trying to fax me 100+ pages of Discovery Response unsuccessfully on the deadline date. They called me via phone and asked to send it via email. I faxed them stating they could email it to me...but I do not believe I have waived my right to proper Method of Service under Rule 21 of the TRCP (fax, delivery, mail, etc). Have I waived my right?, especially since I did not sign anything and I did not state my name in the faxout. I want to tell Opposing Counsel, "Sorry you failed to meet the deadline for Discovery Response".
First of all, you are not looking at the correct rule or even correct set of rules. But even assuming that the method of service is not completely correct (and I can't tell from your question whether all details were met for electronic service), what could you possibly hope to gain by such a silly technicality? You have the responses, so there is no way you can claim something later on is a surprise and even if your fax is not signed, the judge isn't going to punish the other lawyer for not being as sneaking and hyper technical as you. In fact, you are the one who is going to look bad to the judge for agreeing to service and then trying to welch on your agreement.
You need a real lawyer.
The fact that you are asking this question makes me worry that unless you hire a lawyer, you will end up getting in trouble with the judge for discovery abuse and, therefore, end up owing your adversary some money. You could suffer the even worse fate of having your pleadings striken, in which case you would lose your lawsuit autmatically.
Litigation is not a game and judges do not tolerate gamesmanship. It appears that you not are not only unfamiliar with the rules that apply here, but also your instincts are leading you in the wrong direction. This commonly happens when people, even lawyers, try to represent themselves because they become emotionally involved and lack objectivity. Effective advocacy requires objectiviity, legal education and legal training and experience. I would guess you are 0 for three on these items.
Anything worth doing is worth doing correctly. Please hire a lawyer before something really bad happens to you.