This is my mom. I have an amazing relationship with my mom because, as you make very clear, it wasn't abuse. It wasn't AT ME. She was just mad, loudly, and once threw all the pot and pans down the stairs. And, so I grew up into a yeller.

Then....I got into a relationship with my finace. And I had to learn not to yell because he did not grow up in a yelling house and that was a non-starter with him. That was fucking hard, but also amazing. Now I never yell. I have yet to throw a pot or a pan. It took about a year to break the habit, but I did it.

So, I've lived both sides of this and here's what I can say definitively, based on my own experience, with no knowledge of you or your situation:

• Yelling sucks in terms of being effective. It doesn't solve things. It just makes me feel better via catharsis, other people just feel worse, and that doesn't achieve any goals.
• When I go home and deal with my mom, she stresses me out now because I am so not used to the yelling. I am snippier and unhappy when I am in that situation.
• My mom gets super, super jealous of my parenting because calmer, reasoned tones work better and I can get results she can't get. While she's losing her temper, I get super, super quiet, patient, and measured. And I can get the shoes on, the backpack packed, the shower started. And she's almost a little pissed that I can do it.
• Yelling, I had to learn, doesn't make me happy. It gets some rage out but that's a limited positive. Getting TO the rage place has some real consequences and I get there with less frequency and intensity since I learned not to yell.
• I was not traumatized by it. The thing is that you make a baseline. If and when I do raise my voice, you know I am SUPER pissed. When I am deathly quiet, you know I am in rage-mode. I just learned a new baseline. My mom's yelling had little affect, positive or negative, because it was the baseline.

So, no, I don't think you're traumatizing your kid. And I swear like a sailor, by the way. I don't think swearing is the issue, so much as the yelling. But I also know by way of experience that learning to have a different temperament (which does not mean things piss me off more or less than anyone else, just that I've changed how I react to those things) has been a net positive for me and has a net positive in how I can get people to respond to my anger. I just found what, in my limited and personal experience, is a better system.

And I know for a fact it is a better system because I can do side-by-side comparisons. My mom flips her shit about, let's say...homework. The most recent example was my "brother" not doing his homework. She yelled for two days. It took me four hours. Eye contact, with a calm, measured, consequence-reward driven dialogue got his ass in a chair with a pencil. It's simply more effective. You're scarier calm and mad than yelling and mad. You sound sane, you sound in control, you sound serious. It just gets better results, it makes me less crazy, it makes everyone in the house less crazy. Overall, I think there's a net positive.