Legal Question in Family Law in Connecticut

There's no easy answer, but usually property gifted to a party (your sister in this case) or inherited by her, or brought by her to the marriage, is not awarded to her husband in a divorce. There are (very rare) occassions when this general rule might be abrogated. If this is the only asset in the marriage and the husband is destitute without acces to it, or if the husband contributed a lot of money to the property for repairs or improvements, then maybe, but that's highly unlikely.

There is not an absolute answer to this question. Property division during a divorce depends on the assets owned by parties, contributions during marriage, the needs of the parties and other factors including who brought what to the marriage. The trust document may be the controlling factor as to the real estate. If your sister retains 100% of the property in MA, the court may consider that your sister retained this asset when distributing other assets.

First of all, if your sister conveys her interest to you at this time when the divorce is pending, her husband could argue it's a fraudulent conveyance, implead her into the divorce and ask the court to vacate the conveyance.

Her husband can make a claim for a portion of her interest in the trust. Whether he would win is another story. I don't have enough information to give you my opinion on that.