Baby not going to see doctor until June...?

My baby turned 6 months on the 11th and is not going to be able to see a doctor for her shots and check up until June 23rd, so almost 8 months. There was no earlier date available. So... will she be ok? We are going on vacation June 1st to the Cook Islands. I was worried about her not being up to date on her vaccinations when we go. 
And if she gets her 6 month shots when she's 7 1/2 months, when does she get her 8 month ones? Ughhh!!