  The Hubble Tension is a well-known issue in modern cosmology that refers to
the apparent disagreement in inferences of the Hubble constant $H_0$ as found
through low-redshift observations and those derived from the $\Lambda$CDM model
utilizing early universe observations. Several extensions to $\Lambda$CDM have
been proposed to address the Hubble Tension that involve new ingredients or
dynamics in the early universe. Reversing the effects of gravitational lensing
on cosmic microwave background (CMB) maps produces sharper acoustic peaks in
power spectra and allows for tighter constraints on cosmological parameters. We
investigate the efficacy of CMB delensing for improving the constraints on
parameters used in extensions of the $\Lambda$CDM model that are aimed at
resolving the Hubble Tension (such as varying fundamental constants,
contributions from early dark energy, and self-interacting dark radiation). We
use Fisher forecasting to predict the expected constraints with and without
this delensing procedure. We demonstrate that CMB delensing improves
constraints on $H_0$ by $\sim$ 20% for viable models and significantly improves
constraints on parameters across the board in the low-noise regime.
