Yes, so she cannot and should not apply under CEC even if CIC has given you an invite under CIC. She will have to use her one year of foreign work ex and apply under FSW stream as she has not met the requirements for CEC. The 30+ hours do not matter. It is 30 hours min each week for 52 weeks (of course vacations and all are included in this but you are still employed then).
What kryt0n said is perfectly right, would have been better if you used your foreign work exp and got in the draw under FSW not CEC, but now you dont have either.
Maybe you can remove her Canadian work experience and see if you can still go ahead with FSW with this invite? I am not sure