Am I being too sensitive or no?

So my boyfriend has anger issues, he’s admitted he need to work on it, he’s not physical and it’s not really bad honestly but it’s enough to hurt my feelings because he just gets short with me sometimes. I don’t know if I am just too sensitive or maybe he actually is just being really short with me too often, if it’s an issue with me then it’s something I need to work on, but it’s not really something I can talk to my family or friends about so I was just wondering if someone could give me some insight. So for today for example, my boyfriend told me he is upset because he was suppose to hang out and play video games with his friend tonight, his friend is also in college and his friend had a college club meeting to go to tonight so he told my boyfriend he can’t play games with him. My boyfriend is very offended because it feels like to him that his friend doesn’t care and doesn’t wanna hang out even though they have been wanting to hang out for a while. I was trying to make him feel better so I told him maybe the college club thing counted towards class credit or something? (My college did that as well) maybe it was like a necessity he didn’t miss the meeting. My boyfriend said “your making me really angry you need to stop defending him. Stop defending him right now your making me so angry just be quiet.”

I wasn’t trying to defend his friend but I felt like if maybe his friend had a legit important reason to miss then my boyfriend wouldn’t be offended that he didn’t get to hang out with him, maybe I went about it wrong, but my intention was to make my boyfriend feel better. It’s like he didn’t yell at me, he didn’t cuss me out or anything like that, he got upset with me, but it wasn’t like super ragey anger. I understand everyone gets short and maybe snappy every now and then but with my boyfriend it happens a lot and I’m having some trouble determining if this is a problem with me, that I am too sensitive and I need to try to not get my feelings hurt like this, or is this a problem with my boyfriend and maybe I should talk to him about it? I’m just not sure how to handle it because it’s like a weird inbetween super angry and normal. I would appreciate any insight, I do feel like I shouldn’t be offended like this and I am trying to not let this bother me. 😭 after he told me that I was quiet and I didn’t say anything and I was afraid that he would be upset if he saw that I was sad, so I said I had to go and left and have not talked to him since.