Do you have any idea how old the cat is?
Cats of any age who have abdominal parasites will continue to lose weight despite a good appetite. Medication for parasites is available from your veterinarian, and is highly recommended.
Cats aged four and older can develop an
endocrineEndocrine glands
Pancreatic islet cell tumor disorderAdjustment disorder
Anorexia nervosa
Asperger syndrome
Autism
Autoimmune disorders
Bipolar disorder
Bipolar disorder
Bleeding disorders
Borderline personality disorder
Bulimia
Chronic motor tic disorder called hyperthyroid disease and will also lose weight despite over-eating. Hyperthyroid can also cause multiple other problems.
Other causes of weight loss in the older cat are cancer, felv and fiv and other infectious causes.
Simple blood tests can determine if she has hyperthyroid or has any of the infectious diseases. A stool sample can determine if she has abdominal parasites.
Cancer is much more difficult to diagnose. Diagnosing cancer would involve X-Rays, ultrasound and biopsies, and other testing procedures.
There is a very good possibility that she has abdominal parasites since she is an outdoor cat. Also, try to find out if she is truly eating.
Unfortunately, for accurate diagnosis she would have to be evaluated by your veterinarian.
Thanks for your question!