Is obvious nose asymmetry normal after a rhinoplasty?

 You're still very early in the post-operative stages of healing, so slight imperfections may just be due to swelling. There is nothing emergent to do at this time; certainly let your surgeon know of your concerns.
Best regards.

Hello,Asymmetric nostrils can be a result of several issues including: 
Deviated septum- a deviated central portion can contribute
Asymmetric facial structure- Almost every person’s face is asymmetric and imbalance can lead to difference in nostril appearance
Asymmetric nasal cartilage structure- Natural noses as well as those operated on can have asymmetry resulting in nostril asymmetry
Facial muscle imbalance- Some patients will have a dominant side that they smile or express on leading to imbalance.  Dynamic change (change which happens while expressing) is often a result of muscular imbalance.
Rhinoplasty can be used to make nostrils appear more symmetrical but it is almost impossible to make nostrils exactly the same.  Improvement and not perfection should be the goal.
Best, 
Dr. Anil Shah

Hi Anon,
It is not normal to have "obvious" nasal asymmetry and uneven nostrils 7 weeks post-rhinoplasty unless your surgeon is named Picasso. Yes, very few of us are perfectly symmetric, but it sounds like you have more than just a little asymmetry.
Should you be dissatisfied with your rhinoplasty result 6 to 12 months after your surgery, then you should consider revision rhinoplasty. There is hope to fix your nose.
Surgeon's revision policies vary. In my practice, I will revise my patient's surgery within 2 years without my surgeon's fee. The patient is responsible for the cost of the operating room and the anesthesiologist fees.
If you choose to have a different surgeon perform your revision, then expect to pay the usual fees for a rhinoplasty.
I hope that your nose settles over the next few months and that you will not require another surgery. Be well.
Dr. P