Opinions needed

Would you let your 2 1/2 month old baby around a four year old? My cousin wants to bring her daughter who is about to turn 4. I said yes hesitantly, but now I'm worried about her vaccines shedding. Am I being over paranoid? Did you worry about this? When did you loosen up and let your kid be around other kids? Im a FTM and new to this and vaccines. My plan was to not to let her around kids until 6 months, but obviously it's kind of hard. Any help will be appreciated.