I think they would be fine. Wear them. High waisted shorts and pants are trendy and flattering. You have to be a stick, size 3 or less, to look good in low waisted ones, where bellies hang over, cracks show, and the dreaded muffin top flops over.
I'm the same height, I love them. I recommend wearing with heels though to elongate you. Best celebrity style source for that look is Rachel Bilson, also look up outfits she wears on the set if the Hart of Dixie. She's also 5'2"