They might. I screwed up all 4 of my cards because of something going on the caused me to miss my usual payment date and mentally I just spaced paying all my bills.

They didn't even make a pretense of it being a problem and reversed all the penalties and interest. Discover even apologized to me for the inconvenience.

If you are a good customer then they'll likely bend over backwards, and you can threaten to close the card and talk to retentions (though if it's your oldest card then you won't want to actually do that)