I just downloaded and extracted the game on Windows 10 and had no issues running it. Perhaps you are missing the dot net runtime? Without any error messages I can’t really offer any more help.
Viewing post in Towerfall Ascension Not Starting
I Installed the x64 and x86 .net runtimes from here, console and desktop. Still nothing.
https://dotnet.microsoft.com/en-us/download/dotnet/6.0/runtime