Tomato dilema

Tomatoes are not perennials, they will die in the cold.
It sounds as if it has blight anyway, so pick the green toms to ripen indoors and dispose of the plant.

Determinate and indeterminate refer to the ripening of the fruit on the plant.  One ripens all together and the other's fruit ripens over a much longer period of time.    Cheers,   Tony.

Determinate/indeterminate actually refers to the way in which the plant grows, although this does tend to lead to the cropping patterns that Kleftiwallah describes.

Indeterminate plants grow tall with a fruiting 'branch' growing from the stem which then continues to grow upwards and then produces the next one. It will continue to do this until the weather or you decide it is tall enough. The main point is that the growing of the flowering stem does not stop the plant growing upwards.

Determinate plants grow many stems but each stem will stop growing when it produces flowers, this determines that the plant will stay bushy rather than grow tall.