Vent and seeking advice

Both my boyfriend and I have OCD though only I have a proper diagnosis and have been through therapy for treating it as his family view it as just a little quirk that he has and he thinks he is just a big germaphobe. I recently got sick with a cough and I didn’t really want to tell my boyfriend because I knew he would get anxious about it but I knew I had to because I was going to have to take the day off from work so he would likely wonder why I was having to do that. It ended up being a short cold and I am now better but he still seems to think I am not and if I see him, I will get him sick because I accidentally got my mom got sick with what I had (I believe this happened when I didn’t even realize I had been sick yet and I was in the car with her, plus my sister had also been sick before me so it could’ve been from her as well). While I am ok with not seeing him for one of the days that we had originally intended, he now wants to wait almost an entire week before we see each other again and thinks if we hang out on Monday instead of Thursday that I will still get him sick when our other day we had originally planned had been on Tuesday before I realized I was going to be working that day (he was fine with Tuesday and didn’t think I would get him sick by then). I am sad because he told me a different reason at first for wanting to hang out on Thursday than how he actually felt and because he is acting like I am hazardous. I also feel frustrated because how does he think one day makes that big of a difference on if I will get him sick or not when I am already better? I understand that’s probably the ocd but it absolutely sucks being the “contaminated” person who also has to deal with it and also wonder if maybe I am going to get him sick. Does anyone have advice for this situation or how I can help him out? I have tried to explain myself to him already but it hasn’t worked. I just want to be able to see him again since its already been a week and our schedules reduce how often we’re able to talk.