I (32f) have a child (1m) with my boyfriend (41m) of 7 years. Over the past four days or so, our son has been pretty sick with a respiratory illness -- not bad enough for the hospital, but bad enough to keep him home from daycare as he is coughing up massive amounts of phlegm and has been very listless and fussy.

Yesterday, my boyfriend said he wanted to take our son to the mall to "get out for some exercise and fresh air". I said that isn't a good idea, considering he was on day 3 of a very bad chest cold and currently has a compromised immune system. We live in a relatively populated area and I just don't think a sick baby needs to be at the mall, for various reasons. He argued with me about it, but then relented and said he agreed with me.

Today, he stated  -- again -- that he wanted to take our son to the mall. This annoyed me, considering the fact that I already told him yesterday that I was uncomfortable with this and I reiterated the exact reasons why. He is still quite sick and has been having coughing fits where it is difficult for him to catch his breath. He proceeded to tell me that I was "keeping our son cooped up and not letting him get the exercise he needs to get better". He said I'm keeping him in a bubble. 

I reminded him that, yes, we've taken him to the mall and other places plenty of times, but not when he is sick; there is a difference. He became very cold towards me and basically refused to engage further in the conversation until I relented and allowed a compromise of taking a short walk outside instead, if the weather wasn't too bad.

We then took a walk with our sick toddler outside where it is -10 with the wind chill. I expressed that I didn't think it was a good idea to go on this walk, but he continued ahead with our son, so I followed. When we arrived back inside the apartment, our son's face was alarmingly red and I began checking his skin because I was afraid he might have frostbite. My boyfriend then said: "yeah maybe that wasn't a great idea, we're bad parents."

I responded that this was not my idea. He said "fine, I'm the bad parent." I didn't correct him.

This is not the first time we've had problems like this. I admit that I do have problems with anxiety, and my boyfriend frequently uses this against me. Whenever I express that I am uncomfortable with something because I feel it's not in the best interests of our son's safely, I'm told that I am being unreasonable and he either straight up ignores me or fights with me until I am too mentally stressed to fight back anymore. This is just the most recent incident, and I really need some outside opinions on this.

Am I the asshole for not wanting to take our sick child to the mall?