Ruth Moore Act of 2013 - Directs the Secretary of Veterans Affairs (VA), in any case in which a veteran claims that a covered mental health condition was incurred in or aggravated by military sexual trauma during active duty, to accept as sufficient proof of service-connection a diagnosis by a mental health professional together with satisfactory lay or other evidence of such trauma and an opinion by the mental health professional that such condition is related to such trauma, if consistent with the circumstances, conditions, or hardships of such service, notwithstanding the fact that there is no official record of such incurrence or aggravation in such service, and to resolve every reasonable doubt in favor of the veteran. Allows such service-connection to be rebutted by clear and convincing evidence to the contrary.

Includes as a "covered mental health condition" post-traumatic stress disorder, anxiety, depression, or any other mental health diagnosis that the Secretary determines to be related to military sexual trauma.

Requires the Secretary to report annually to Congress in each of 2014 through 2018 on covered claims submitted.