What color is the car and what's the budget? Being 16 years old I personally wouldn't get her any nice wheels though lol!
BMW M-Parallels 18x8:

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The
BMW Style 5 is a 2 piece BBS wheel available in a dozen different sizes and offsets. You can find the 17x8 from an e39 5-series for $500-750 w/ tires.

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The
BMW Style 32 is a multispoke wheel similiar to the Alpina and would be cheaper than the M-Parallels and Style 5:
If you want to check out this thread I made on Bimmerforums it will show you some of the cleanest examples of e34's with both BMW and after-market wheels:
Ulimate Collection of e34 Photos! - Bimmerforums - The Ultimate BMW Forum