Hyperthyroidism worries...

I am 17weeks pregnant with B/G twins and have so far had the perfect pregnancy. Never have I thrown up, or had any issues thus far. At my last appointment I was referred to an endocrinologist because my tsh level was .09 the normal low being .34 ish .... BUT I HAVE NO OTHER SYMPTOMS! They started me on 10 MG of methlimazole to try and get it under control, but I am terrified of the effects the meds can have on the babies. Has anyone had to take this medicine before? I'm trying not to read too much Google horror and keep my "Dr knows best" mindset. TIA!