I just saw this film and, as much as I loved it, I was amazed at how unclear they made the ending :( So did the Russian Orthodox church finally inherit the monastery/church after Mr. Vig's death? It was not clear to me if he did go through with the whole project and eventually donated his livelihood in his will/testament or not :(
OK, I went to the film's official site and, in the "FUTURE" section, got myself an answer I wanted (would it have hurt to include it in the film's closing titles?):
"Hesbjerg Monastery
Today the monastery is run by Nun Amvrosija. On Sundays the monastery church is a gathering place for people, who come from far and away to attend the beautiful Russian Orthodox ceremony. The Russian Orthodox priest Hegumen Theofan, Dean of the St. Alexander Nevsky Parish in Copenhagen, often comes to carry out the services.
The Russian Patriarchate and the Hesbjerg Foundation are now negotiating the future plans for the monastery, and an agreement is well on its way."