Is rhodamine a fluorochrome?

Yes, rhodamine is a fluorochrome.

Rhodamine refers to a family of highly fluorescent dyes that are derivatives of xanthene. All dyes in the rhodamine family fluoresce a bright color that is easily detectable even in very low concentrations, making them very useful in a number of biotechnology applications including ELISA, fluorescence correlation spectroscopy, fluorescence microscopy, and flow cytometry.