Bleg: New Deal and Communists

I have a question and I am having trouble finding the answer:

I am writing about a black woman who was hired to work for the NRA in August 1933. A year prior, she had written in glowing terms about the Communist Party in the NAACP's organ, The Crisis. Were the people who hired her ignorant of this connection, or did they not care that they were hiring a Communist fellow-traveler, if not a fully fledged member of the CP? Since I can't find this answer in the primary sources (and believe me, I've looked), I'm looking for a more general answer to the question, In the early days of the New Deal (i.e. the first year), what was the administration's attitude toward hiring communists, particularly in the non-artistic sections of the government? Don't Ask, Don't Tell? Favorable? Didn't care one way or the other? Tried not to?

Some books I've tried to find the answer in:
Jerre Mangione, The Dream and the Deal: The Federal Writers' Project, 1935-1943 [talks about Communists working for the New Deal, but not in the early days and not outside of the Writers' Project].
Mark Solomon, The Cry was Unity: Communists and African Americans [perspective of Communists outside of the government]
Adam Cohen, Nothing to Fear: FDR's Inner Circle and the Hundred Days that Created Modern America [About the administration's attitudes and concerns, but doesn't really mention Communists. Mentions Frances Perkins driving out the Garsson brothers, who made the Secretary of Labor's office all about finding "illegal immigrants, particularly alleged Communists."]