Don't try to let her bite you. Correct, BPs don't train like a cat or dog. Just make sure your husbandry is spot on and go in confidently. Being hungry, shed time, or may be she's just a bit grumpy. My spider female was the same way. Just go In confidently and even if she does strike, continue to pick her up. Eventually she'll remember you're not a threat.

My spider female now is the greatest, most docile BP I have ever owned or fostered. I do work with her daily. Since I don't have a large collection, I make sure I work with them all on a daily basis except feeding and shed time.