You haven't provided any info RE your eligibility for CEC or FSW. Assuming you meet the other criteria for both, your IELTS scores do limit you. You would not be eligible for FSW, and you would only be eligible under CEC if your NOC is skill level B.
If your NOC is skill level O or A, you will need to re-take the test. I see from an earlier post that you are from the UK, so it shouldn't be that difficult to raise your score. You can also try the CELPIP instead.