The physician tells a woman who usually drinks 5 cup of coffee daily to cut down her consumption by 75%. If this complaint with physician's instructions, how many ounces of coffee is she allowed daily?

If the woman usually drinks 5 cups of coffee daily, she consumes 5 x 8 = <<5*8=40>>40 ounces of coffee.

The physician instructed her to cut down her consumption by 75%, so she is allowed to drink 40 x 0.75 = <<40*0.75=30>>30 ounces of coffee daily. Answer: \boxed{30}.