What‘s “wrong“ with my facial profile? (photos)

The projection of your chin could be improved. You have a few options to improve the projection and symmetry of your chin and profile. If you’re not sure you’re ready for surgery, but still want to improve and strengthen your chin, I’d suggest augmenting your chin with Sculptra and/or Voluma. If you like your new look, you can make it permanent with a chin implant. I hope that helps.

You most iikely are affected by your chin recession. To prove whether that is the issue or not have computer imaging done to see if changing it changes how you feel about your profile.

 Hi, I have performed many facial shaping procedures, including Chin Augmentation with dermal fillers or silastic chin implants, for over 30 years.  From the photo, your chin is quite weak.  When the chin is weak, this creates an imbalance making the nose appear larger, the mid face top heavy, the lower face looks short, de-emphasizes the lips and allows early formation of a "double chin".  
 Proper placement of a silastic chin implant adds forward projection to the chin thereby creating harmony and balance to the lower face.  Using the same incision, liposuction can be performed to reduce the fat and further shape the neck.  Excess skin, from below the chin, can also be removed through the same incision.  
 I have found that placement of a silastic chin implant, through a small curved incision under the chin (also allows excess skin removal) to be very safe, quick, highly effective and far less invasive than a sliding genioplasty (requires extensive tissue dissection, bone cuts and placement of metal screws and plates to secure the cut segments of bone).  I perform chin implant surgery in 30 minutes or less, often using a local anesthetic alone.  In my opinion, you are a good candidate for chin implant surgery.  If you are not ready for a chin implant, the chin can be augmented with precise placement of a dermal filler.
Hope this helps.