Severe Swelling can be Angioedema

There have been cases of angioedema after injections with dermal fillers.  This is an abnormal swelling, not just the usual minor swelling one gets after HA dermal fillers.  The cause is usually unknow, but frequently it's related to someone taking an ACE inhibitor antihypertensive (usually the medication name ends in -ace).  It doesn't always happen to a person who has had it before and it only very rarely will occur in someone taking ACE inhibitors.  It can also run in families.  There are measures you can take to help prevent it in the future like taking steroids before and after. 

To have an actual allergy to HAs is extremely rare.

If you suspect angioedema is the problem, this should be worked up by your internist.