  We propose a new approach to generate messenger-matter interactions in
deflected anomaly mediated SUSY breaking mechanism from typical holomorphic
messenger-matter mixing terms in the Kahler potential. This approach is a
unique feature of AMSB and has no analog in GMSB-type scenarios. New coupling
strengths from the scaling of the (already known) Yukawa couplings always
appear in this approach. With messenger-matter interactions in deflected AMSB,
we can generate a realistic soft SUSY breaking spectrum for next-to-minimal
supersymmetric standard model(NMSSM). Successful electroweak symmetry breaking
conditions, which is not easy to satisfy in NMSSM for ordinary AMSB-type
scenario, can be satisfied in a large portion of parameter space in our
scenarios. We study the relevant phenomenology for scenarios with (Bino-like)
neutralino and axino LSP, respectively. In the case of axino LSP, the SUSY
contributions to $\Delta a_\mu$ can possibly account for the muon $g-2$
discrepancy. The corresponding gluino masses, which are found to below 2.2 TeV,
could be tested soon at LHC.
