Aspartame ingredient!

Susana
Hello ladies, 
I am currently 9 weeks pregnant with mild nausea. I have found that Popsicles (sugarfree) calm my nausea. Therefore I've been having a Popsicle once a day for the past 2 weeks. BUT I just found out that it contains aspartame to replace the sweet Taste. It had less than 1% but I'm scared as I've been reading that this ingredient is bad for pregnant women. Anyone have any information! ? 
-thanks