What can I do if my English level is lower than the minimum requirements? I am applying for a Masters degree. An  IELTS with an overall Band score of at least 6.5 and a minimum of 6.0 for each section is required. I have taken the test and my overall score is 7 but in particular my score is:

Listening:  8.5 
Reading:    7.5 
Writing:    7.0 
Speaking:   5.5


Would an application with the aforementioned results get rejected before it even reaches the academic evaluation stage?
Would an Enquiry on Results (apply for my speaking to be remarked) help?
Is retaking the test the best option?
The higher up the requirements are imposed, the less flexibility there is for circumventing the policy.

The reason for having such policies may be related to satisfying needs for teaching assistants and for being able to handle the communication needed for taking coursework.

Your best recourse is probably to retake the test, rather than trying to get an exception that could cause problems later on if a new set of policies are put into place.