  The mass, current coupling, and width of the doubly charmed four-quark meson
$T_{cc}^{+}$ are explored by treating it as a hadronic molecule $
M_{cc}^{+}\equiv D^{0}D^{\ast +}$. The mass and current coupling of this
molecule are calculated using the QCD two-point sum rule method by including
into analysis contributions of various vacuum condensates up to dimension $ 10
$. The prediction for the mass $m=(4060\pm 130)~\mathrm{MeV}$ exceeds the
two-meson $D^{0}D^{\ast +}$ threshold $3875.1~\mathrm{MeV}$, which makes decay
of the molecule $M_{cc}^{+}$ to a pair of conventional mesons $ D^{0}D^{\ast
+}$ kinematically allowed process. The strong coupling $G $ of particles at the
vertex $M_{cc}^{+}D^{0}D^{\ast +}$ is found by applying the QCD three-point sum
rule approach, and used to evaluate the width of the decay $M_{cc}^{+} \to
D^{0}D^{\ast +}$. Obtained result for the width $ \Gamma=(3.8\pm
1.7)~\mathrm{MeV}$ demonstrates that $M_{cc}^{+}$ is wider than the resonance
$T_{cc}^{+}$.
