If the flowers of my orchid fall off, should I remove the stem and keep the leaves alive?

I think it went thru shock, but I don't know if a new stem will grow eventually.

If the flowers of my orchid fall off, should I remove the stem and keep the leaves alive?
Once a stem has bloomed, it will not blossom again on that stem. But the orchid will send up another spike (usually once a year) and that spike will produce blossoms. I've got one blooming orchid now, and another spiking, so I should have blossoms all summer!