I ran out of deodorant this morning and of course had no clue that DD#1 took both the spare deodorants I had in my closet back to school with her -- without telling me!

I was sitting next to CW today helping with something on her computer. I leaned in a bit closer to the monitor (and to her) so that I could see something I couldn't quite read. CW gave a slight grimace and quickly pushed her chair back. That's when it dawned on me that I probably had a bit of BO going on.
Me: "Oh, I'm so sorry! I probably smell a bit off today. DD#1 ran off with the spare deodorant and I ran out this morning." Then, trying to make lite of the situation, I added "Don't worry, you can keep your distance. I completely understand.

"
CW (sternly looking at me and with a cold tone in her voice): "Did I
say you smelled bad?"
Me: "No . . . I . . . just didn't want to offend you."
CW (still cold): "Don't worry about it." (Pointed to the screen) "Now the next step is?"
So, was I rude for apologizing?