Yes.

You will need the email address you authorize Google Analytics with, to also be an admin on your Google Adwords Account.,

Analytics and Adwords are using the same Google Authorization, so they must be the same.  If they are not currently, you will need to invite the email address you are using to be an Admin on the account it's not currently on.

Without this setup, you'll only be able to authorize either Google Analytics or Google Adwords.