Broadway Thru a Keyhole (1933)

Racketeer Frank Rocci is smitten with Joan Whelan, a dancer at Texas Guinan's famous Broadway night spot. He uses his influence to help her get a starring role in the show, hoping that it will also get Joan to fall in love with him. After scoring a hit, Joan accepts Frank's marriage proposal, more out of gratitude than love. The situation gets even stickier when she falls for a handsome band leader during a trip to Florida. Can she tell Frank she's in love with someone else?