The Church does not publish a list of forbidden or acceptable artists one may listen to. If someone purports to offer you such a list, I would be extremely skeptical. You will just have to make these decisions on your own. God is calling you to apply the graces you received by virtue of your Baptism to discern for yourself what needs to go and what can stay. No one here can make that decision for you. Consider it an opportunity to grow that God has blessed you with.
I will say, generally speaking, that Catholics are under no moral imperative to only listen to music, watch TV, read books, buy products, or visit websites solely from people who are living virtuous, morally upright lives. If you choose to do so, you are more than welcome to try, but you are under no obligation to play detective and attempt to uncover the religious beliefs of anyone.
I believe it is a mistake to label music as “satanic”. There is a miniscule amount of music that is truly satanic (and it probably originates from Scandinavian death/black metal bands that you have never hear of). Certainly, the devil tries to use anything (even things that are, by themselves good or at least morally neutral) in order to keep you from God. But that doesn’t make the thing itself “satanic”. Do you see the distinction?
Of course, there is music out there whose lyrics promote sinful things, but it is better to simply speak of it as such rather than use the term “satanic”. We ought to be careful to be accurate with our words. When we toss around the word “satanic” so much, people tend to take us less seriously.
The most important thing, I would say, is to evaluate how the music affects you. If it causes you to sin, throw it out. If it makes you uncomfortable to listen to it, even if it doesn’t tempt you to sin (for example, listening to a song glorifying premarital sex may not cause you to want to engage in such behavior, but it may make you uncomfortable to hear), you may want to throw it out. It’s up to you.
I’ve known people who, after their conversion, found it necessary and cathartic to throw away CDs and movies that they were now no longer comfortable listening to (or watching). But then I know people for whom this was not really necessary. Myself, I fall into the latter category. Even if a song (or movie or book) doesn’t conform 100% to Catholic teaching, I can still enjoy it without being drawn into sinful behavior. Of course, there is still some stuff that I simply wouldn’t go near, not because it would lead me to sin but because it’s so contradictory to my faith that I would derive no enjoyment from subjecting myself to it.
So, the choice is yours.