PLEASE HELP. My husband (30m) caught me (27f) in a white lie, now thinks everything I've ever said is a lie.

My husband and I have twins under 2. We have also been locked down because of COVID, so we are both working full time from home with no child care. My husband's workplace is extremely understanding of our difficult situation, so they allow him to be more or less "on call" for his work so that he can put his family first. My job is much less understanding. If an email comes in and I don't respond within 10 minutes I am spoken to by leadership about my "unavailability". I get spoken to in this way very often because I refuse to force my husband to be solely responsible for the kids during the day. We split their care around 60/40.
​
Because my husband has a little more leniency, he takes the boys' nap time to get a nap in himself. The two of us have not been sleeping well due to all of the extra stress we're under right now. I always want to get a little extra sleep myself, but I don't want to lose my job. And I am the most productive when the boys are not running around playing. So I stay working through nap time.
​
This morning I was feeling a little cruddy (screw you, pollen) so I asked my husband if I could sleep in just a little bit. He agreed since I had let him sleep in an extra half hour yesterday morning. So I helped him bring the boys downstairs and change their diapers before jumping back into bed and setting an alarm.
​
My alarm goes off at 8:15 and I was still feeling crummy. I snoozed for 15 minutes, figuring it wouldn't make that much of a difference since the boys stay in their high chairs eating breakfast for the first 30-45 minutes of their day. So my alarm goes off at 8:30 and I head downstairs.
​
My husband is immediately cold towards me. He starts going off about how I was only supposed to get 30 minutes. He said I hit snooze 3 times (not true...) so I would get over an hour. He says I went upstairs at 7:15 (also not true) and just kept resetting my alarm (partially true).
​
I figured he was just pulling ideas out of thin air because a lot of accusations were just wrong, so I showed him the alarm on my phone set to 8:30. He immediately scoffed and said, "Yea, NOW it's set to 8:30. But I came up and checked your phone earlier and it was set to 8:15." He then went on to call me selfish and untrustworthy. He then started going on about how every fight we've had must have been me gaslighting him. He now thinks I'm a pathological liar.
​
I don't know how to remedy this. Yes, I snoozed my alarm. I really didn't think it would be this big of a deal. And now I can't correct him on his mistakes because he's so convinced that I just lie about everything. And he caught me in one little lie so I have no credibility in his mind, and I also don't feel like I have the chance to correct him because it'll just seem like I'm deflecting.
​
I'm really struggling to come up with a solution here. I've never seen him this mad before and I'm worried this could drastically change our relationship. Any advice would be greatly appreciated.
​
TL;DR My husband caught me in a white lie and now thinks I lie about everything else.


Source.