The drag act received plenty of attention ahead of the contest and was also named as one of the acts the UK entry Molly Smitten-Downes was most worried about.
Conchita represented Austria
Plenty of fans shared their joy at Conchita’s win, including a number who saw a more serious side to Conchita’s win.
“Conchita proves gender variance is OKAY and that there are places we're moving to as a society and that's hugely important,” wrote one, while another posted: “Conchita literally shows everyone that you don't have to be like everyone else to succeed in this world. Being yourself is good enough!”
The UK’s 17th place finish also pleased Eurovision fans, despite the fact Molly Smitten-Downes had been tipped to win.
A number of other Twitter users also congratulated Conchita:
Spain’s Ruth Lorenzo - also a hot favourite to do well in the contest - finished in tenth place with 74 points, while Russia received 89 points, putting them in seventh place.
Watch Conchita's performance here...