Would you let someone else breastfeed your baby?

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A friend of mine who is breastfeeding her 3 month old baby is going into hospital for day surgery (and wont be able to breastfeed her baby for 48 hours afterwards so that her breast milk does not contain the anesthetic). She has an aquaintance of hers doing some paid babysitting for the three days she will be away from home. My friend does not have enough frozen expressed breast milk of her own to feed her baby in her absence so she has bought some formula to feed the baby when the frozen milk runs out. The aquaintance was holding the baby and pulled her towards her breast and said to her mum "Its ok, I am sure I have enough milk here for two!" (she is currently breastfeeding her 2.5 year old child). My friend politely told her, no thanks but the aquaintance seemed to get a bit offended. My friend has rang from the hospital to tell me her worries, she thinks that this babysitter might breastfeed her baby anyway! She lives too far for me to go and help out. [b]What do you think, would you have this worry? Would you let someone else breast feed your baby? If yes, have you and why?[/b] If not, what would worry you more, just that it is milk made from someone else or that the baby would suckle on someone elses breast - or more of an emotional reason? (breastfeeding is a very personal connection between mother and child). I am a bit confused and overwelmed by all of this and I can't find a way for me to help - feeling a bit helpless!