Pronouns Aren't the Problem
I see two potential issues here: repetitive sentence structure, and focus on choreography.
Repetitive Sentence Structure
She [did a thing] [connecting word] [another thing].
The sample has 6 sentences, and they are basically all compound sentences with ~20 words. So it feels a little repetitive, because it is — but it's more than just the one pronoun!
Focus on Choreography
This is the real issue. The sample is all a summary of the POV character's actions. There's no description of the environment, no build up of tension, and no insight into the POV character's thoughts.
When OP wrote: "Her heart thumped against her chest" I was surprised; I hadn't realized this was a tense / scary scene until that point.
Suggestion
Rosa took off her shoes, and stepped onto the hardwood floors in the old Victorian home. The floorboard croaked like a dying man, and she shuddered. Where had that thought come from?
She peered around the entryway, but there was not a soul in sight. The dim pool of light from the front windows provided just enough illumination to give motion to the dark shadows. Rosa steeled her nerves, and started down the hall. The croaking of the floorboard hounded her steps.
She heard the incongruous sound of giggling voices, and she stopped dead. The high, sharp tones sounded as if they were coming from the back bedroom. It didn't sound anything like Uncle Fredrick. Her heart thumped against her chest. She took one step forward, and the stillness was shattered by a deafening scream.
This revision adds details designed to give insight into Rosa's state of mind and describe the unsettling appearance of the house.
Also, the sentence structure is varied. I have some short, simple sentences, some longer simple sentences, and finally some of the long, compound sentences OP started with.
Results
I used 5 "she"s and 2 "Rosa"s compared to OP's 7 and 1 — so overall, a pretty similar number of pronouns. But I don't think this version sounds repetitive at all.