In this presentation, we introduce a robustﬁfth orderﬁnite diﬀerence Hermite weighted essentially non-oscillatory (HWENO) scheme for compressible Euler equations following the HWENO with limiter (HWENO-L) scheme (J. Comput. Phys., 472:111676, 2023). The HWENO-L scheme reduced storage and increased eﬃciency by using restricted derivatives only for time discretizations, however, it cannot control spurious oscillations well when facing strong shocks since the derivatives are directly used in spatial discretizations without any restrictions. To address such an issue, our proposed HWENO scheme performsﬂux reconstructions in theﬁnite diﬀerence framework without using the derivative value of a target cell, which can result in a simpler and more robust scheme. The resulting scheme is simpler while still achievingﬁfth order accuracy, so is more eﬃcient. Besides, numerically weﬁnd it is very robust for some extreme problems even without positivity-preserving limiters. The proposed scheme also inherits advantages of previous HWENO schemes, including arbitrary positive linear weights in theﬂux reconstructions, compact reconstructed stencils, and high resolution. Extensive numerical tests are performed to demonstrate theﬁfth order accuracy, eﬃciency, robustness, and high resolution of the proposed HWENO scheme.