Go into the recruitment process with an open mind -- you never know what you might learn. It's very possible that your *dream* internship might not work out, and it's important to keep your options open and consider other opportunities. Also, apply for internships you might not be qualified for. PPD sent out an email last winter with an accounting position at Apollo, so even though I was a finance major I applied. Ultimately my resume caught the recruiter's eye, so the lesson is that you should apply to what you think you are qualified for and are interested in, even if you might check off all of the boxes on the job description.