followed with ‘I wasn’t aware is so important to you. I didn’t want to insult you and if you felt so, I apologize. The word fuck is one I use very often, but I’ll try to control myself around you’
Note I didn’t insult the coworker (no fuck you or fuck off), but simply said ‘fuck’ out loud due to a job error.
No, but the swearing is immaterial. That apology isn’t, so let’s break down the likely interpretation a bit.
This is probably the most egregious part, since ‘I’m sorry you felt offended’ isn’t actually an apology, it just sounds like one. You’re not actually apologising for anything you did.
No matter what it is you might have wanted or intended, the fact of the matter is that you did offend your coworker with your swearing.
This part is fine-ish? I’d leave off the “around you”, since it’s extraneous. They don’t need to know that you’re deliberately taking exception around them.
Seems a better way of putting it. You made the error, you apologised, clean and cut. No need for unnecessary explanation that could be taken as excuse, or unnecessary exceptions that may taint your intended message.
Maybe accompany it with an apology muffin or something.
This sounds like “I’m sorry I fucking swore around you, I’ll try to stop that shit.”