Just jumping in here to add some extra info to what the other users suggested.
You can also double check that the specific artist is not blocked from playing. To do this, head over to the artist page on a mobile device and tap the three dots in the upper right corner. There will be a line Allow to play this if the artist is blocked, make sure to tap on in. Afterwards, it's a good idea to log of and back in to your account, so it gets properly synced with our servers.
Hope you find this useful. Let us know how you get on.
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“Music is a language that doesn’t speak in particular words. It speaks in emotions, and if it’s in the bones, it’s in the bones.” - Keith Richards