My 15 yr old daughter is a bright loving child.
Just to clarify, no I don't think you are a bad parent.
I'm starting to get the impression that I'm coming across as a bad parent.
I don't think I would discount her being hurt.
I think your 3 options are just fine. If she's not truely injured, she needs to be practicing. If she's got an injury that pulls her out of practice for 2 weeks, she should absolutely be seen by a doctor. If she's not going to practice and won't be seen by a doctor, then really, she shouldn't be on the team. You are giving her very fair options in my opinion.
At this age, kids are starting to look more realistically at where they are abilty wise and it's normal for some refocusing to happen. It may be that she does enjoy the sport but perhaps she's not really fitting on this competitive team. She may go back to it more recreationally later.
If this were a serial problem, I might think differently but it's OK to switch gears once in awhile. I'd still want her to do "something" but it doesn't have to be basketball.
I only know what you have said, and here it is.
Yes, my dd is very interested in other activities such as art music an writing.