HELP how to deal with sub hypothyroidism/ potentially hypothyroidism?

I (F21) have been really struggling with pretty much every single symptom of hypothyroidism. blood work shows consistently elevated TSH levels (5.0 - 5.2 - 5.9 etc.) and consistently decreasing t4 levels (1.50 - 1.27 - 1.00). However, my primary won't prescribe me medication or really tell me anything helpful I can do. I spend hours on the internet trying to figure out the best way to manage symptoms/improve levels but I just feel helpless, especially given that I move relatively regularly and definitely don't overeat like crazy so I just don't know how I can manage the consistent fatigue, weight gain, dry skin, and damaged hair. anyone with a similar experience? would really appreciate any guidance or anything that has worked for you!

also - I am vitamin d and iron deficient but do try to take supplements (I have been iron deficient my whole life and vitamin d deficient for at least 4 years now with varying levels)