Ok, that's pretty awesome. Confratulations on your admission. I will be pursuing MSc in economics.
Normally, if the VO requests medical report, it means your application is likely to be approved.
I submitted my application online on March 26th and on the 28th, I received message to submit medical report. So I did the medicals on April 7th (e-medical report in Moscow) and got a letter at MyCIC on April 14th stating that a final decision has been made and I've to submit my passport to complete the process. My passport reached the embassy in Moscow on April 16th and on this same day, I got approval letter at MyCIC and my passport with visa the next day.
So I think since you did your medicals on May 5th and you passed, you should get a letter to submit your passport somewhere by May 14th (may be the May holidays may prolong it a bit). For the processing timeline of 9 weeks for Moscow - I think it's not applicable to all eligible student applicants. If you meet all the requirements and no doubt about your intentions, they process it very fast. In your case too if you added a letter of Intent, then there is the likelihood that you won't even be invited for interview and they'll just approve it.
Keep me posted!