Sprinkle the gelatin over the rum in a small heatproof cup. Let it soften for a few minutes. While the gelatin softens, combine the remaining ingredients except for the cream, in a large mixing bowl.
Set the cup of softened gelatin in a pan of gently simmering water and stir the gelatin until it has dissolved. While the gelatin is still hot, whisk it into the pumpkin mixture.
Whip the cream to soft peaks and carefully but thoroughly fold it into the pumpkin mixture. Fill (8) 6 ounce ramekins or a large glass bowl. Refrigerate at least 4 hours or overnight. Enjoy!