In principle, the presence of New Physics might affect the result of the UT analysis, changing the functional dependences of the experimental quantities upon ρ and η.
On the contrary, two constraints are now available, which are almost unchanged by the presence of NP:

• |V_ub/V_cb| from semileptonic B decays
• the UT angle γ from B → D^(*)K decays

In principle, the second quantity might be affected by New Physics "pollution" through D⁰D⁰. Anyhow, one has to remind that this process is still unseen (so that the experimental measurements are done ignoring its effect).
Using these two constraints, an interesting bound can already be put on the (ρ ; η) plane, as shown below. In particular, η=0 is excluded @95% Prob., definitely establishing CP violation as a feature of the Standard Model.

(EPS) [JPG]

One can also translate this bound in a quantitative prediction for each observable related to the Unitarity Triangle. This set of values is the minimal requirement that each model describing New Physics has to satisfy, in order to be taken as a realistic description of physics beyond the Standard Model.