Heart murmur and a career in law enforcment?

While taking my pre-employment physical (Non-sworn, non-stressful position) with a large Orange County CA police department, I found out I have "what appears to be" an innocent heart murmur. The dr. practically said it in passing and suggested I have my normal physician take a look at it. A long with that heart murmur, I have other symptoms of hyperthyroidism.

Nothing is set in stone, and I am going to see my Dr. soon, but, anyone have any thoughts on this? Might it become more of an issue when I apply for the academy?

On a side note, besides this possible complication, I think I have got the job nailed (after 6-months of background, sheesh!)

it should not be an issue but your doctor would be able to tell you for certain or not

it will be fine.. i was going to go into the marines and their doctors said il be fine but i did not get in because i have asthma.

I would worry about the "heart murmur" first.

It can be a problem for you, it all depends on "what" it is. It could be a leaky valve, in the heart or in the aorta. You should find out, this could lead to a heart attack in the future.
They can give you a ultra sound, deep scan to find out, for your own welfare, you should look into it.

The hyperthyroidism can be controlled by medication but, I was wondering if they would accept you, both of these conditions are serious. Especially for the insurance and your performance of your duties.