“Anxious” is not a synonym of “excited.” People often misuse “anxious” in this way, but the true definition has a more negative connotation. When you are slightly nervous about something coming soon, you are anxious.
Example 1: Lulu was anxious about Santa Claus’s arrival on Christmas. (i.e. Lulu wasn’t looking forward to it.)
Example 2: Lulu was excited about Santa Claus’s arrival on Christmas. (i.e. Lulu was looking forward to it.)