It has been suggested that dark matter particles which scatter inelastically from detector target nuclei could explain the apparent incompatibility of the DAMA modulation signal ( interpreted as evidence for particle dark matter ) with the null results from CDMS-II and XENON10 . Among the predictions of inelastically interacting dark matter are a suppression of low-energy events , and a population of nuclear recoil events at higher nuclear recoil equivalent energies . This is in stark contrast to the well-known expectation of a falling exponential spectrum for the case of elastic interactions . We present a new analysis of XENON10 dark matter search data extending to E _ { nr } = 75 keV nuclear recoil equivalent energy . Our results exclude a significant region of previously allowed parameter space in the model of inelastically interacting dark matter . In particular , it is found that dark matter particle masses m _ { \chi } \gtrsim 150 GeV are disfavored .