Heat oil in a large high-sided skillet over medium-high heat. Add shallots and garlic, and cook until soft and translucent add carrot, celery and fennel; cook, stirring, until tender, about 10 minutes add the lobster meat and cook for for 10 minutes longer.Carefully add vermouth and deglaze. Add tomato; reduce heat and add the oyzo simmer and cook until thickened, 8 minutes.
Remove skillet from heat.