Heat the olive oil in a large pot over medium heat. Add the diced onion and minced garlic, then cook for 3 minutes until the onion softens.
Add the sliced mushrooms to the pot. Cook for 5 minutes, stirring occasionally, until the mushrooms release their liquid and start to brown.
Pour in the vegetable broth. Stir in the paprika, dried thyme, salt, and black pepper. Bring the mixture to a boil.
Add the egg noodles directly to the pot. Reduce the heat to medium-low and simmer for 8 minutes, stirring now and then, until the noodles are tender and most of the broth is absorbed.
Remove the pot from the heat. Stir in the sour cream until the sauce turns smooth and creamy.
Sprinkle the chopped parsley over the top before serving.