Sorry to tell you this but, balancing a thyroid takes 6 months at the absolute least....often closer to a year.
It all depends on how your body responds to new amounts of hormone (titrating thyroid meds needs to be done low and slow just like Lyme treatment).
And, it also depends on a cooperative doctor willing to increase the dose until the Free T4 and Free T3 levels are similar to those of a healthy person.....not just working towards lowering TSH.
Here's a list of possible hypothyroid symptoms:
hypothyroidmom.com/300-hypothyroidism-symptoms-yes-really/As you can see, many overlap with Lyme symptoms.
You'll only know which is to blame *after* your Free T4 and Free T3 levels are optimized.