Don't apologize for bothering her ever -- unattractive. You are conceding a one-down position. Your language and actions need to reflect the fact that you are a prize worth having. Pursuing behaviors must stop and must be replaced with friendly indifference.
Avoid reaching out via text or email because you are giving her all the power to decide whether or not to respond and the waiting will work you over. If you have a logistical need to talk to her, call. Otherwise let her take the lead on reaching out. Don't be too available, if she texts you make her wait, and don't respond with anything that needs another text from her. You are a busy man, your schedule forces you to be brief.
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015