Everyone is different result wise - my best tsh is 0.6-0.8.
It's wise to go on symptoms when you're stable but you're not stable yet.
It's possible you are still fluctuating a bit and you might be deteriorating further and need more thyroxine. The tricky thing is there's a delay in symptoms often too. Waiting a good 6-8 weeks before testing to see how you feel is a good idea (even 3 months) but frustrating too if you're feeling rough.
Definitely ask if "other issues that can cause similar symptoms" can be tested (a good tact) e.g. Vitamin d, ferritin and b12. (Pernicious anaemia is also auto immune and can be linked like coeliac).
I've recently had tummy issues too - I tried very basic fodmaps (avoided lactose, gluten, onions, garlic and food with lots of fibre e.g. Museli and beans and lentils and also took a lot of probiotics) and I did feel much brteee.
It's worth remembering though that a very low tsh and high t4 can cause food to shoot through also, and also causes muscle aches and pains, and a weird wired tiredness too.
Tsh is the most stable result - t4 and t3 can vary at different points during the day. They're good indicators too (t4 more stable as it's half life is 7 days; t3 is a few hours) BUT it is just a snap shot and it's best to look at symptoms.
It can take a frustratingly long time to get sorted out with thyroxine at first, and very good to get the other bits top notch too (vit D etc), which can take a few months. Then you can assess symptoms better.
I find sleep a good indicator; if I sleep 7-8 hours a night (if allowed to!) I know that's good, and able to not nap. Also puffy ankles show I'm not great. I used to be able to go by stools (constipation was under, too runny was over) but since mild ibs that's not really working!