Final answer:
The physician should opt for the surgical correction of the coarctation of the aorta to address the patient's cardiovascular issues. Separate treatment may later be considered for the low estrogen levels, potentially through hormone replacement therapy after evaluation.
Step-by-step explanation:
For a 14-year-old female with coarctation of the aorta and low estrogen levels, the appropriate treatment for her cardiovascular condition would be surgical correction of coarctation of the aorta. Coarctation of the aorta is a life-threatening congenital condition that restricts blood flow which can lead to serious complications if not treated properly. Surgery, such as resecting the narrowed section of the aorta or angioplasty, is typically used to correct the abnormal narrowing and improve blood flow. The low estrogen levels may be a separate issue, potentially related to puberty and growth, and this could be addressed by the physician through hormone replacement therapy, if indicated, after a thorough evaluation.