Baby UTI?

An

My little one is just over 6 weeks old. She pees in small quantities all day. In an hour timeframe she can pee up to 5 or 6 times. She was crying when she peed previously but we thought it was because it was burning her diaper rash. Her rash is now gone and she still seems upset when she pees. Not like her normal, just upset cry, but a pain cry. Could she have a UTI? She doesn’t have a fever, which is what I’ve read is usually the telltale sign.