Why does my baby refuses a chilled synthetic teether or anything cold that could soothe her gums? She prefers to bite either mine or her fingers instead. I can say she's teething cause she drools a lot and pulls her ears.

You know how we get "brain freeze" sometimes when drinking an iced slushie? I suppose it's sort of like that for our children - too cold. In this case, you could try using other sorts of teethers. I wouldn't use teething gel though because of the risks. http://www.whattoexpect.com/first-year/ask-heidi/are-teething-gels-safe.aspx In this case, try wooden or plastic teethers.