I think that she will fiind the college level "pre-calculus class will go much faster and further into depth than any HS math class .Especially if her score on the test is below the threshold for jumping to the next level. Is the college U of Chicago by chance? DS did not want to take their placement tests either, but they are given for a reason.
I think the college has more knowledge of how well students may do in their college engineering classes than you or your DD does.
It will not do her any good to avoid taking a class that is highly recommend for engineering majors.