Topological superconductivity is a sought-after state of matter, particularly in bulk crystalline materials. UTe2 is a recently-discovered contender for topological superconductivity, but its superconducting order parameter remains a matter of contention. In this talk, I will first present a brief overview of key experimental results on the superconducting state of UTe2. I will then discuss recent developments in sample synthesis combined with thermodynamic and spectroscopic measurements that shed light on the role of disorder, magnetic fluctuations, and time-reversal symmetry breaking in UTe2. At the end of the talk, I will discuss current constraints on the superconducting order parameter of UTe2 and highlight some of the pressing outstanding open questions.