Mix 12 ounces cream cheese, ¼ cup sugar, 1 egg and 1 teaspoon vanilla extract in a small bowl. Reserve.
For the cake:
Grease with 2 tablespoons shortening a bundt cake pan and coat it with flour, shaking off excess.
In a medium bowl, mix ¾ cup unsweetened cocoa powder with ¼ cup water and ½ cup prepared coffee. Stir and reserve.
In a large bowl beat ¾ cup unsalted butter and gradually add 1 ¾ cups sugar. Beat until very creamy, about 3 minutes.
Add 3 eggs, one at a time, mixing well after each addition. Beat for 1 minute after the last one is added.
Add 2 teaspoons vanilla extract and ¾ cup sour cream to the chocolate mixture and mix.
Sift 2 ¼ cups all-purpose flour, 1 ½ teaspoons baking soda, ½ teaspoon baking powder, and ½ teaspoon salt.
Add dry ingredients in three additions to the butter mixture, alternating with the chocolate mixture in two additions. Don't worry if the batter looks a bit curdled at times.
Pour ⅓ of the batter into the prepared pan, smooth top.
Spoon ½ of the cream cheese mixture, trying no to let it overflow to the sides. Marble slightly.
Spoon another ⅓ of the chocolate batter on top, spreading it to cover the white batter. Some white spots might remain, don't fret about it. Marble lightly.
Cover with the remaining chocolate cake batter.
Bake 50 to 60 minutes or until a cake tester or toothpick comes out clean. This is a large cake and can take longer depending on your oven and bundt pan.
Let cool for about 15-20 minutes on a wire rack, and carefully remove it from the pan. It's still hot and tender, so make sure it's not stuck by slightly shaking the pan; you'll feel the cake is loose. Return it to the wire rack and cool completely.
Pour glaze slowly over cake and let it drip down the sides.
For the glaze:
Mix ½ cup sour cream, 1 ¼ cup powdered sugar, and ¼ teaspoon vanilla extract in a small bowl until smooth.
Notes
The bundt cake pan should be filled ⅔ to ¾ of its capacity, no more than that. This way, the batter has space to grow and bake well.Baking time: consider that all ovens and pans are different, even if they look similar. The baking time in my recipes is as accurate as possible, but it might take you more or less time. You can use an oven thermometerto check that your oven is at the right temperature. I recommend tracking how your oven works and what tiny details you might need to adjust. Skip the glaze: this cake is good on its own, with just a dusting of powdered sugar.