I Have Hashimoto's Hypothyroidism - I Have Taken Synthroid For

I have Hashimoto's hypothyroidism - I have taken Synthroid for years and feel fine. My daughter has asked me to get a flu shot before I come to visit her newborn baby. First, what are the risks of the flu shot for me? Second, is it imperative to get a flu shot these days before having close contact with a baby?