UConn women got what I think is a great draw, all things considered. The two biggest threats to win it all are, I think, South Carolina (obviously...they're the best team in the country by a significant margin) and Stanford. But both of those teams are in the same half of the bracket, opposite UConn. Here's UConn's likely path:
First round: Vermont - should be an easy win
Second round: Baylor or Alabama - Baylor usually is pretty tough but they're down this year...UConn should roll into the Sweet 16
Regional Semifinal: North Carolina or Ohio State - gets a little harder here, but I don't see UConn losing to either of these teams
Regional Final: Virginia Tech or Tennessee - No disrespect to Va Tech, who is really good and they've had a great season, but I think UConn handles them pretty easily; and they already beat Tennessee at Tennessee
I think UConn makes it to the Final Four.
And then there, they'd match up with Indiana or Utah or Villanova or LSU probably. None of those teams is a cakewalk, but it's never easy this time of year. Put it this way: I'd rather face ANY of those teams than South Carolina or Stanford at this point in the tournament.
So I actually see this beat up, exhausted UConn team making it to the NCAA championship, where they will likely promptly get rolled again by South Carolina. BUT.....UConn CAN win that game (with a depleted roster, they only lost by 4 earlier this year)...IF a number of things go right for UConn. South Carolina would be the heavy favorite, but UConn would definitely have a puncher's chance in that one.