Review the original item:
While flirting on the phone with the satellite dish salesman, Rose forgot
the omelet cooking in the kitchen,
she was surprised when the stovetop fire filled the house with smoke.
You wanted to fix it this way:
While flirting on the phone with the satellite dish salesman, Rose forgot
the omelet cooking in the kitchen she was surprised
when the stovetop fire filled the house with smoke.
To delete the comma between kitchen and she would cause an equally bad problem, a fused sentence. A fused sentence occurs when you have two main clauses joined with no punctuation whatsoever. Rose forgot about the omelet cooking in the kitchen is the first main clause. She was surprised is the second main clause.
The spot between kitchen and she needs a stronger break than blank space.
You might want to consult the rules for fixing comma splices and fused sentences.