An electron promoted to a higher orbital can either keep its spin opposite to the electron left behind, giving a singlet excited state, or its spin can flip so that both unpaired electrons end up spinning in the same direction, giving a triplet excited state. Because two parallel unpaired spins combine to a total spin quantum number of 1, the multiplicity works out to (2(1)+1)=3, which is exactly why this configuration is named a triplet state, and why triplet states are typically lower in energy and longer-lived than the corresponding singlet. A doublet describes a single unpaired electron rather than a pair, and "parallel state" is not a recognised name for any spin multiplicity.
Therefore, the correct answer is Triplet state.