Yes, you can eat foods with MSG (monosodium glutamate) without putting your baby at risk.
MSG is a food additive used to enhance flavor. It also naturally occurs in many foods, including soy extracts, tomatoes, and cheese. Some people report getting headaches (even migraines), nausea, vomiting, or dizziness when they eat foods with MSG.
If eating MSG before you were pregnant caused unpleasant side effects, you'll probably want to continue to avoid it during pregnancy.
Even though the Food and Drug Administration has not found any proven sensitivity in humans and considers MSG to be safe, it requires that added MSG be listed on ingredient labels. Foods with naturally occurring MSG do not have to list it, but cannot claim "No MSG" or "No added MSG" on their packaging.
Keli Hawthorne. Is it Safe to eat Foods with MSG during Pregnancy? [Online]. 2016 [Cited 2016 June, 16]. Available from: http://www.babycenter.com/404_is-it-safe-to-eat-foods-with-msg-during-pregnancy_2285.bc.