First, when you dramatically change the light conditions a Meyer will drop most, if not all its leaves, to replace them later with leaves better suited to the new light conditions. To move a Meyer from outside to inside without the leaf loss, you need to move it from full sun to partial sun for 2 weeks; then to full shade for 2 weeks; then indoors; reverse the process when putting it out in the Spring... and please DO put it out, if you can; you will be rewarded with a happy, healthy plant.
Second, when you bring it indoors to a sunny window, the plant gets warm; but the roots generally stay cool; and citrus roots don't like to grow into cool soil... the solution is to put some sort of heater to warm the soil, or to put the plant a little further from the window. The thing to remember is first the roots grow; and then the leaves and branches.
As for cold, a Meyer will survive 28 F and a bit less if you cover it with a light bulb inside the cover to provide some heat.