Cat peeing on rugs/bed?

I adopted a Siamese cuddly 4 year old cat a few months ago. She’s had no issues using her litter box. Today I smelled a strong pee smell in my daughters room, and found a pee stain at the head of her bed. I washed everything and sprayed the room. A few hours later, I still smelled it. I lifted up the rug on the floor and found 3-4 pee stains, which was the cause of the smell. She has no urgency when she goes, she doesn’t go to the bathroom too much or too little. She doesn’t whine when she pees. I don’t understand? She’s spayed.