EDI does well with introductions and socialization. At worst, she'll ask some uncomfortable questions about behavior, but that's just because she's trying to understand. I should probably warn you about airlock jokes too, but she really likes that one lately soI can't imagine that's not going to extend to Theta. Just let him know she often doesn't have the same set of boundaries and social parameters as some, so there's a good chance she might accidentally ask some things that set off said shyness.
Standard future space-ops I'd imagine. Newtons First law of Motion gets pretty important when you're firing slugs into space. You can't afford to go missing your target. Why not start on the shuttle or the M-Ship, just to be on the up-and-up? We'll get your space-legs under you and then we'll see about moving you and Theta on up to the big stuff?
Though, there's a very good chance you're going to fall in love with the M-Ships like I have, fair warning.