I have the Orchid, and it is not my most expensive DAC but I think it's my favorite. I've never heard your CD player so I don't know if it will be better or if you will like it better but if you like neutral detailed "analog" sounding digital then give the Orchid a try.
There are other things in your system that will make more of a difference than an external DAC but if you don't like digital sounding sources then it's worth making the investment in my opinion.
There are other things in your system that will make more of a difference than an external DAC but if you don't like digital sounding sources then it's worth making the investment in my opinion.