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Hello from JustAnswer.
This TSH level is normal and does not need any treatment. It is not worrisome that someone is close to the lower limit of the normal range. There are actually some normal people that are slightly outside the normal range, because the normal range is defined to include 95% of normal people.
Whether she needs any further hormone replacement treatment would depend on her bleeding pattern, and that decision will not be affected by the TSH of 0.81.
If I can provide any clarification, please let me know.