Articles says :
Whether you take T4 right before your lab tests, or haven't taken it for up to 48 hours, your
TSH value should be the same. Thus, you will get an accurate representation of your TSH value whether or not you take your T4 medication before a lab test. Same goes for free T3 levels when you take a T4 medication
Free T3 levels peak 4 hours after taking medication so taking medication before testing may show that you are overdosed. Again, for best results, postpone taking your
thyroid medications until after your test.
Conclusion:
1. No change in TSH levels, FT3 levels if you take or doesn't take medicine In the morning
2. Best time for testing Total T4, FT4 is in empty stomach before taking thyroxine or else 5 hours post tablets...
3. No relation with your periods.... and before or after food giving sample