I'm assuming that by Order of Protection you mean one in the sense of "Personal Protection Order" or "no-contact" order. Depending on what the temporary orders entail, you might be found in violation thereof (assuming they are granted) if you have any contact with her. At least in Michigan, PPOs are valid from the instant the judge signs them.
Yes, the petition for an order of protection (or the order itself, if granted) can be dropped anytime.
Yes. In fact, that would conclusively debunk your wife's petition for a PO. Be sure to file that evidence with your opposition before the hearing, in case you need to appeal. Protection Orders are devised to prevent a risk of imminent harm. Since your wife keeps approaching you, it is clear that she doesn't really consider you to be a threat to her safety.
Indeed, she is extorting you. She needs to drop her petition for Protection Order immediately and regardless of your decision to divorce. She is incurring abuse of process and might be sanctioned by the court. She is using the Protection Order as an improper tactic to influence you to change your mind. I don't know Texas statutes, but in other jurisdictions the petitioner for a PO has to swear to the truth of the allegations in his/her petition for a PPO, and the petitioner who makes intentionally makes false representations may be subject to the contempt powers of the court.
If she really didn't request her attorney for an application for protection order and didn't indicate a need for it, then her attorney is incurring legal malpractice.

