  Inspired by the new TOTEM data on elastic $pp$ scattering at 13 TeV, we study
the possibility to describe all the diffractive collider data ($\sigma_{\rm
tot}, d\sigma_{\rm el}/dt$, $\rho\equiv$Re$A$/Im$A$, \sd) in a wide interval of
energy (0.0625 to 13 TeV) in the framework of a two-channel eikonal model. We
show that a satisfactory description can be achieved without an odd-signature
(Odderon) exchange contribution. We consider the possible role of the QCD
Odderon which may improve the description of $\rho$ and discuss the importance
of the odd-signature term if the amplitude were to exceed the black disc limit.
