She sounds perfectly normal to me (and I have two daughters who will turn four in a week). One of my daughters can get really mad when things don't go her way... not always... but sometimes. I actually found that the TV was a major trigger of her mood swings. She just couldn't transition from the sensory overload of the TV back to reality. Ultimately, we've turned the TV off for good (or for a year or so, who knows). Her behavior has turned around significantly now that there's no TV in our house.
Another thing that really truly helped us is the 1-2-3 Magic book. There's no magic to it, but it explains a very basic method of counting "bad" behavior and setting consequences. So in the situation with your daughter, after you turned the TV off, you'd very calmly say "Honey, I need you to come put your clothes on. If you can't, we won't go outside." Then if she resisted, you'd say "That's 1" while holding up one finger. (after two days of using 1-2-3 Magic, this is enough to get both of my daughters going 90% of the time). When your daughter continued to resist, you calmly say "That's 2" while holding up 2 fingers. If that didn't get her moving, you wait 30 seconds and say "That's 3" then put her in time out. After the time out, you don't talk about it, don't scold, etc. You just move on to the next activity... which would NOT be going outside because that's what you told her the consequence would be.
The book did a good job of explaining to me that kids can't process all of the explanations from parents about what they're doing wrong, and so the more we talk and explain, the more confusing it gets for them. By breaking it down into "1, 2, 3" and allowing the child to take responsibility for their own actions (they decide whether to obey or not, really), it simplifies things and the kids can process what's expected of them. Then they don't get to the super frustrated stage where they lash out.
My advice would be read this book (I'm sure your library has it) and see if it might work for your family. Also try turning the TV off for a while... a month at least. Some kids just have too much going on in their brains to handle the extra stimulation of television. At the far end of the spectrum is sensory processing disorder, but on the mild side, it can manifest as willfullness. And that's totally normal. By helping her get control of her temper at age 4, though, you're giving her a life skill that will help her for ever!