Linda, I don't think you will have much of a problem, if you keep the tree in balance. By balance I mean a balance between the foliage and the root zone. When a citrus is growing in high light with warm conditions, the root zone needs to be warm (75-85F). If the tree's foliage is cool and in low light, the root zone can also be cool 55-60F or lower). What you don't want is high light and cool roots. Below is a copy of a 2005 post by Citrange, a long time knowledgeable member of this forum. His posting concerns trees in much the same environment as you are talking about.
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A few years ago, I was visiting France in late February and stayed in an slightly run-down chateau. I was surprised to discover a very gloomy basement - almost a dungeon - containing four enormous pots with mature citrus trees in them.
The owners told me the trees stayed there every year for three months with no attention apart from just a few waterings, there was no light except from one small high-up window, the basement stayed just above freezing on the coldest days, the normal inside temperature was around 40-50F. The trees were brought out in March, showed little leaf drop and immediately started flowering.
Now, many people would say the lack of light should cause leaf drop, but it didn't.
Millets theory fits this perfectly. No root activity, no leaf activity and the plants are virtually in suspended animation. ................