I like Sony products for a CD player and it depends on the features that you want for your daughter. For a 13 year old I do not think I would go with one that has too many features or it may confuse your daughter. Just go with the one that will be easiest for her to use.
In Regards to the CD player it should not cost over $40 USD for a quality CD player there are many CD players aimed at children and the only thing that needs to be known if the CD player is to be a Walk-man Style CD player Or Boom-box.