Tattoos that fit a military image?

I've been considering the Air Force, but I have two tattoos. I've researched a bit and I believe I should be fine on one, because it doesn't show up even with only a t-shirt, but the other one is on my left forearm (not my saluting arm). I'm estimating that it's less than 1/4th of my forearm, which is what seems to be the restriction. But I was wondering about the part in the regulations that says "doesn't fit a military image". The tattoo is of a peregrine falcon, and considering the USAF, I think it damn well fits a military image. If a tattoo is military themed-ish, is it still prohibited from being shown? (ie, I still have to wear my long sleeved PT uniform? -- And this is uming that a tat is military themed, which I know mine may not be, and I may be stretching it by saying it is, but I'm still curious regardless.)