How should I proceed if he's got an avoidant attachment style?

Anonymous

To try and make a long story short.. I matched with a guy on a dating app just a few months ago. Things were going great until we realized that we live in two opposite continents.. despite this, we still enjoyed talking to each other & enjoyed each other's company so we continued to talk for a total of 2.5 months. during that time we bonded emotionally through text, talked every day and overtime we both admitted that we were beginning to have feelings for each other as we found the other person to be what we were looking for in significant others. I also came to learn he had abandonment issues at such a young age. He would joke saying he's got emotional issues but he had a dry/sarcastic humor so I didn't think much of it at the time. I was also trying to be better about being transparent about feelings, communicating &emotions with him but it felt like I was always the one to express emotions vs him. & his reply would be he just has a hard time expressing himself. We both knew that ultimately it wasn't going to work out long term because of the distance and decided to stop talking. Recently we reconnected & it was going well for the first few days but my personality is that I like to tease and give the person I like, a hard time. He joked saying he could handle it before, but this one day specifically we were joking/flirting & giving each other a hard time but I could tell he was getting frustrated and he asked me to do something for him, which I refused as a tease & as a result he told me to not expect any responses or replies from him until I did so.. &i haven't heard from him since...
I just recently came to find out about the avoidant attachment style after reading about it, and it very clearly matches him.. I also came to learn that I have an anxious attachment style.. so while my go to response is to reach out & try to address the problem and at least be on good terms, I'm afraid that it might drive him away.. I don't know what to do or how to move forward.

Updates
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*also part of the reason why I say that I realized that he's got an avoidant attachments style is because a few days leading up to him being frustrated, his behavior and the way he would talk to me came off as cold, unbothered, "too cool to care" and he wasn't showing that he cared as much as he did in the beginning..
How should I proceed if he's got an avoidant attachment style?
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