Stood Up for Myself Feedback

The only male coworker on our small 5 person team was trying to belittle me. Our extraordinary male supervisor recently passed away, so my male coworker was trying to take charge of the team, same as he did before when we had a direct supervisor when the supervisor was not around. A temporary supervisor has stepped in for the time being. My male coworker won't try to boss my other strong female coworker, but I needed to stand up for myself this time. All 5 members of our team work each client in a different way. This male coworker and I have different ways of working with clients. My male coworker makes advanced promises and has boundary issues with clients. I never promise clients anything and am working to perfect my boundary setting. The client called the male coworker and my coworker made the client an advanced promise in a single phone call that involved me. I confronted him about the promise. He told me verbally: "The referral is a simple email that can be done today...do you know how to do it? His tone was sarcastic and belittling. I had it. I told him to not talk to me like I was dumb. This small out burst was from built up anger toward my male coworker's sarcastic remarks in the past. As my deceased supervisor said about me; "She does not take kindly to being disrespected" My other female coworkers on my team are not really talking to me, but I am proud of myself for standing up to him. My male coworker, I, and my temporary supervisor had a meeting about it, and my male coworker is not talking to me, which I do not mind. He has made petty remarks, not directly to me, but I think it is because he is immature since he did not get his way. I also called out his lie about making a promise because I heard him on the phone since our cubicles are close. My female coworkers seem so up in the clouds and charmed by this male coworker. I tried to keep this anonymous as possible with giving enough information. What do you think?