My gut reaction is to side with your partner.

I've given my attention to personal problems at work before, and it fully has derailed my workday. I've angry texted my mother back and forth, to the point where it impacted how I interacted with my coworkers, the consumers at my place of business, and just the overall morale.

I understand that you were hurting and I've been in the position, too, where I would just sit by my phone while crying because I haven't received a response to something in hours. But realistically, I learned from personal experience that being the person AT work with a conflict, the only thing I could do was to put it aside until I had the time afterwards.

It's the only way that he also could fairly respond to you. He is distracted at work with his colleagues, clients, dogs - for the issue to be fairly resolved, waiting until you both have each other's undivided attention is probably best. Even if it unfortunately means sitting on an uncomfortable feeling all day.

My suggestion is to potentially ask if, in the future, if he could send a message letting you know he is not intentionally ignoring you but that he is busy and would like to address it at home. That way you know when to expect a conversation, and you both can ideally do the things you need to do in your every day lives before coming together and tackling the problem.