Welcome to YT
Congratulations on your new yorkie! If she is shivering put a little t shirt on her and cuddle her in a blankey. The white stuff in her eye could be an infection so you should get a hold of your vet Now to have her checked. You wouldn't want it to get worse. If she has an infection that could cause her to shiver, too. Please post photos of your new little one and let us know how she is doing. Good Luck. I bath Sophie every week to 10 days but maybe a tad longer in the winter when she isn't running around the yard so much.