Not with that logo it doesn’t. That’s Herman Goering’s Luftwaffe.
It’s the logo minus the swastika that the eagle is supposed to be clutching, as per the internet. Today’s Luftwaffe’s logo is an equilateral cross.
It's a modern t shirt. Yes, it looks like they took the WWII style eagle as a design element. But, there's no swastika. If you started pulling random people off the street and showed them stylized eagle designs from the WWII German air force, how many people would you have to go through before you found someone who could place it? 10,000 maybe?
That crazy woman was reacting to the word: Luftwaffe.