Freaking out, big pig nose after rhinoplasty. (Photos)

A few days after rhinoplasty is still very early in the healing period. To notice the tip being lifted (i.e. seeing more of your nostrils) is a normal part of healing and as the swelling reduces this is likely to improve. Swelling tends to lift the tip of the nose and as this resolves the tip tends to drop.
After rhinoplasty some swelling is normal as this is the way the body naturally heals. Most of the swelling goes over the first 2-weeks however much more will go over the first 6-weeks, there can then be some fluctuation in swelling for a period of months, the final result is 12-months.
2-weeks: By the end of two weeks commonly 80% of the swelling has resolved, however there will still be swelling particularly in the tip of the nose and this will mask the fine detail at the nasal tip. 
6-weeks: Most of the swelling has gone down, there can be fluctuations in swelling on a day by day basis
6-52 weeks: Gradual resolution of the swelling, that results in more definition being seen in the tip of the nose and nasal bridge. 
There is a degree of swelling after rhinoplasty that is dependent on your ethnicity, genetics, environmental factors, and surgical factors including if the surgery included nasal tip surgery, nasal hump reduction and revision rhinoplasty.

Three days is very soon after surgery.  It is difficult to determine your results at this stage due to significant post-op swelling.  As the swelling subsides you will be able to get a better idea of your final outcome, although it can take 6-12 months for all of the swelling to resolve.  I recommend you allow some time for swelling to resolve, then discuss any concerns with your surgeon.