Complex sentence: She received both popular and critical acclaim, most notably for her role in "Sullivan's Travels" and her femme fatale roles in film noir with Alan Ladd during the 1940s, and was well-known for her peek-a-boo hairstyle.
Split into simpler sentences: She received both popular and critical acclaim, most notably for her role in "Sullivan's Travels", and for her femme fatale roles in film noir with Alan Ladd during the 1940s. She was well-known for her peek-a-boo hairstyle.