My cat has suddenly become clingy

My cat has always been the follow you around type. She's always in the same room, but far enough away that you can't touch her easily. She cuddles occasionally when she's scared or cold, but mostly just likes being nearby without being to close. But two days ago, we had a big storm and she stayed on the couch with me, shivering and scared. Since then, she refuses to leave my side, following me into the bathroom or throwing herself against the door and screaming if the door's closed. She's been climbing up on the couch (that she hates) to get closer to me. I got out of bed last night to use the bathroom, she was dead asleep on the bed, but she got up anyway to scream at the door, then followed me back to bed. She's currently sleeping on my feet which never happens. Is she okay? Should I take her to the vet? She's 4.5 years old and she's been with us for 2 years now. She's an American sorry hair marmalade if that matters. She's spayed also.