How do I know if a Teacher has declined me?
You won't know that for sure.
If you think that's the case, stop thinking about it. We are meant to walk in life with like-minded people because that brings us most happiness. If that Teacher thought you were not like-minded, that's a good thing because she has now given you the opportunity to go find someone who IS like-minded. See it as an act of kindness.
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FAQ #2257 - How do I know if a Teacher has declined me?