Will an older grown dog, harm a new kitten?

A friend has asked us to “babysit” her new kitten for a few days, while she is on vacation. my first thought was, “will my border collie and new kitten be compatible or will my border collie resent the kitty and attack her? i still do not have an answer, after three days of babysitting. the kitten stays in a small cage and my border collie stays outside. we are afraid of the end results, if they make contact with each other. if you have had a similiar experience, please share. will the kitty survive, if she is set free with my border collie?