Have they actually said what your haemoglobin levels are? Some doctors differ on what they regard as too low. Normal range is 12-16, I think, but some doctors would advise iron supplements if you were at, say, 11 or 10, whereas others wouldn't. It might just be worth checking to see if you are borderline but your doctor has decided not to intervene.
What about vitamin B12 deficiency? That's another variant.
This is a useful list of other symptoms and info: - fro the Boots MD site linked here
The body also has a remarkable ability to compensate for early anaemia. If your anaemia is mild or has developed over a long period of time, you may not notice any symptoms.
Symptoms common to many types of anaemia include the following:
easy fatigue and loss of energy
unusually rapid heartbeat, particularly with exercise
shortness of breath and headache, particularly with exercise
difficulty concentrating
dizziness
pale skin
leg cramps
insomnia
Other symptoms are associated with specific forms of anaemia.
Even if not anaemia, it seems quite possible that it's a deficiency of some vitamin or nutrient. Are you vegetarian? Is there any particular food group/type you don't eat? Are your periods very heavy?
I don't think you should just assume that you're tired and that's that. There ought to be an underlying cause that can be addressed.