High ambient temperatures will cause her metabolism to stay high, hence she will continue to lose weight. Low temperatures (brumation) will slow her metabolism and she will not lose weight. The thing here, is she is likely responding to the shorter days of winter, but is unable to avail herself of the cooler temperatures she would have found in the wild (Being as she is in your house). So she has stopped eating for the winter but needs the cooler temps to maintain her weight.
If she is not so skinny that her backbone is showing, but is instead round, and is still drinking water, I'd go ahead and brumate her now before she loses any more weight. Weigh her before putting her in brumation, then every few weeks weigh her again to check her; she should not be losing any more weight at cooler temperatures.
I am brumating a pair of bulls to prevent weight loss over the winter, since they were determined to not eat. They ate like pigs all summer, so had reserves. They are doing fine, even though one of them had not eaten for almost 6 weeks.