Induction booked next week

So I'm currently 4 days overdue and have my induction on the 16th.My 9 year old daughter goes to her dads for a week on the 15th and he lives 100 miles away. Basically I feel kinda sad that she will miss her brothers first few days and her dad won't change the week as he's had to get off work. Is it bad that she will miss the first few days or am I just worrying over nothing and it won't make any difference to her if she meets him at a few days old. I guess it's just not how I pictured it but it's just the way it's turned out with going overdue