This was over a hundred years ago in the face of the British Empire. She got a clean bill of health on this and never stopped working to help people understand and respect the spiritual basis of their own cultures. The Society she founded has three basic objectives, the second being to study ancient and modern science, religion, and philosophy. If we actually did that with unbiased minds, we would open up intellectually and spiritually. The third objective is to study the laws of nature and the powers innate in man.
People often assume that means psychism.
We hear that she was a psychic par excellence, moving and materializing objects. Whether HPB did or didn't produce certain phenomena is beside the point when considering the third object of the Society. The real power innate in man isn't psychic. It's the selfless aspect, the nobler side of humanity she spoke to. That was what she devoted her life to showing us.