Having a 'bone-loss' and 'getting braces' are two different aspects. For getting braces, one ought to have a good bone strength, else there is a risk of teeth getting mobile (loose). Certain investigations such as Bone density, serum
calcium & Vit-D level, can indicate the ability of the jawbone to be able to bear the load of the braces. Nevertheless, a carefully planned approach for orthodontic treatment (including braces) will help slowing the bone loss as you advance in years.
Next Steps
Consult your orthodontist and orthopedician to discuss the course of action. Get any relevant lab investigations done if advised before taking the decision.