Welch, 25, who is currently dating events organiser James Nesbitt after splitting from her long-term boyfriend, said she was also attracted to rapper ASAP Rocky, reported Contactmusic.
"I have a massive girl crush on MIA - her video for 'Bad Girls' is the best music video I've ever seen. ASAP Rocky got this mouth full of gold teeth and he's really beautiful. He's so cool," she said.
Welch also said that she finds touring difficult.
"You miss actual intimacy and home and connection. My house is like a graveyard of suitcases. I'm sick of it. They haunt me."