Might not be a bad idea, thyroid problems tend to show up about that time, during perimenopause or menopause.
If you do get tested, don't settle for the standard tests the drs generally do, they really don't tell much at all and a problem can be missed.
Here is a list of tests that really should be done, don't settle just for TSH.
Thyroid antibody testing, TPO and TSI.
The FREE tests are your actual active thyroid hormones, the Total tests are active and bound hormone, the TSH is a pituitary response (not a thyroid hormone) the antibody testing tells whether you have antibodies associated with Hashimoto's or Graves. Hashimotos is the leading cause of hypo-T.
Also, don't settle for the dr saying your tests are normal, when it comes to thyroid, there is no normal. Just being "in range" does not mean all is well, where in the range your numbers fall does make a lot of difference. If you want you can post the results and ranges here on the boards once you get them, we will help you understand them.
Keep in mind most GP's have about 1 hour training on thyroid and many admit they don't even know how to read the bloodwork results.
Keep us posted.