How do you cope with anxiety triggered by the dynamics of on-going relationships?

Last night I posted a very detailed question about a personal situation involving family. It was helpful for me to disclose private information. The responses to the previous question were helpful, too. While the anxiety of the situation has felt suffocating, seeing the situation exposed allows me to see how anxiety has been affecting me. Also, it is allowing me to see the bigger picture in other relationships.

I’m beginning to consider ways I can deal with my anxieties within the context of my on-going relationships. So, in this question, I am not seeking advice per se. Instead, I’m curious to see how others have dealt with their specific situations.

When you realize the dynamics of an on-going relationship triggers anxiety, how do you cope with your anxiety AND continue being in relationship with the person whose presence or behaviors triggers the anxiety?