Medicals and the application processing go together and are not dependent on each other. Medicals are reviewed by Health Canada, which the IRCC will process the application.
If you have a ECA for your education, there is nothing to worry. Usually R10 is cleared in about 45 days from AoR and with the R10 the ECA, IELTS are verified on issuing website. This is usually the right time to order the first set. However, at this time the Eligibility will not have been cleared, which usually should be done in the third month.