I lived in Dubai for 14 years, if your daughter is going to see a friend then there is a big ex-pat community out there with their own country clubs and sports clubs, weekend beach barbeques, squba diving, snorkeling etc so the pal will be able to show her around, a new face gets plenty of invites, theres plenty to do without hitting the expensive hotels.
when she gets back she will be full of it, and the crime rate is very low. Sorry but you definately have the wrong view of Dubai and your condeming it without even been there.