Oh my gosh, YES. It can be extremely frustrating not to "look" like you think you're supposed to, based on others. I struggle with that as well. I'm strong, but I'm not "ripped;" and being almost exclusively in the free-weight section of the gym with all those muscle-bound men can get really frustrating.

But, quick story.
I was helping a friend unload her pickup truck, and she had several 40lb bags of salt in the very back. I stood on a side step and was able to easily lift the bags over the side. She looked at me like I was an alien and said, "Geez, strong much?" I was like, pfff whatever. But then she tried and couldn't even lift one off the floor.

That really hit me (and of course made me feel like a badass). Just because I don't look like a Muscle and Fitness model doesn't mean I'm not strong AF. And that's the real goal, isn't it?