Thought I'd start a reference thread for this since I deal with these issues weekly. This thread specifically only applies to meeting requests via Stage 32 from our pitch sessions and coverage services. This isn't universal email meeting advice, though some things might apply. If you have any questions, just drop them in the comments.
These are the top things to keep in mind to help you out, and are questions I answer or mistakes I see constantly.
1. If you received the notification that you have a meeting request, you will almost immediately see an email from me introducing you to the executive. If you don't see it right away, check spam. If it's not there, email me at email@example.com
2. When I make the intro, most writers ask, "Should I introduce myself or wait?" Introduce yourself! Feel free to say hello and that you're available to talk whenever.
3. Should you send them additional materials? No. Not unless they ask. I see many a writer barrage the executive with a long essay and several other scripts. This is a surefire way to overwhelm them and shoot yourself in the foot.
4. Should you ask them for favors immediately? No. You're building a relationship here. I recently got into it with a writer who was insulted by an exec. He was introduced to the exec via email and then immediately asked the exec to recommend him to some manager friends of his. Without even a conversation. He shot himself in the foot, and didn't take the lesson either.
5. How often should you follow up? If you don't hear back right away that's fine. That's actually pretty normal. Everyone is busy. But every week I get panicked emails about a lack of response the next day after the introduction. Give them time. Especially if they requested your script alongside the meeting (they'll probably read it first). Checking in every few weeks or so is okay. Checking in every day is too much.