In a small saucepan, bring 1/2 c. heavy cream to a simmer over medium-high heat
Stir in the tea
Remove from heat, cover and let stand for at least 30 minutes and up to 1 hour
Strain the tea through a fine-mesh sieve, discarding the solids, and chill the remaining cream until completely cold, at least 1 hour.
To finish frosting, add the remaining 1/4 c. cream and confectioners’ sugar to the tea cream
With an electric mixer on medium, beat the cream mixture until medium-stiff peaks form, 2-3 minutes
Add the softened cream cheese(or mascarpone cheese) and beat just until stiff peaks form careful to not overmix
Spread the cake with the frosting and serve at room temperature