You can't really "embed" a survey in an email. Putting a functional HTML form in an email is a no-go.
You can fake the look of a form within an email body by using images for checkboxes, radio buttons, buttons, et al., and then have each one link to a particular URL (meaning, in practice, you can't expect people to respond to more than one "question" because they're probably not going to bother going back to the email to answer another). You can also make each link go to the same form (or, I suppose, survey) and have that initial click prefill one answer. Might be more engaging than "click to fill out the survey," I don't know.