Muldowney was elected as a Republican to the Seventy-third Congress, but was an unsuccessful candidate for reelection in 1934. He was a member of the State board of mercantile appraisers from 1935 to 1937.
Muldowney's political career included being elected to the Seventy-third Congress as a Republican, but he lost his re-election bid in 1934. He also served on the State board of mercantile appraisers from 1935 to 1937.