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I am ssorry to hear about this concern. I will wait for your reply so I know we are connected.
Well, the vet was guessing. A good educated guess. There are some infections that can make a dog or cat anemic, so to be safe, they prescribed doxcycline.
However, there are other causes for a low blood count including autoimmune disease, when the body is attacking its own blood, kidney disease, and chronic disease (that is when some other chronic long-term condition can impact the blood count). 18% is serious. Quite a few cats once in the 15% to 20% range could require blood transfusions when not feeling well.
Unfortunately, I do not believe any food will impact the blood count. I do feel additional testing would be very important to help understand the cause of the low count to see if any other therapies could be offered.
Other testing to consider would be an abdominal ultrasound and viral testing.