  Motivated by the proposed experiment $^{14}N(d,{^2He})^{14}C$, we study the
final states which can be reached via the allowed Gamow-Teller mechanism. Much
emphasis has been given in the past to the fact that the transition matrix
element from the $J^{\pi}=1^+ T=0$ ground state of $^{14}N$ to the $J^{\pi}=0^+
T=1$ ground state of $^{14}C$ is very close to zero, despite the fact that all
the quantum numbers are right for an allowed transition. We discuss this
problem, but, in particular, focus on the excitations to final states with
angular momenta $1^+$ and $2^+$. We note that the summed strength to the
$J^{\pi}=2^+ T=1$ states, calculated with a wide variety of interactions, is
significantly larger than that to the $J^{\pi}=1^+ T=1$ final states.
