Hello,
I may be wrong, but I (kind of) think that uneasy is not as strong as worried. Here's a sentence:
- She's uneasy/worried about traveling alone.
- I am uneasy/worried about the new change.
I don't think I'd use "worried" in #1, but I need a sentence, so...

Uneasy suggests to me that there's something making him/her feel uncomfortable or a little anxious/nervous.
I am probably wrong, so feel free to correct me. Thank you.