"Through sickness and in health" is not just referring to a broken bone or cancer.
Anxiety is also something that love should override. It might get tricky sometimes, but in the end, its all worth it. Falling in love with a girl with anxiety means walking her home even though she lives a block away. Loving her means holding her hand in a crowded room, even if your friends are around. You should listen to her ramble on about all the homework she has and support her when she becomes anxiety ridden.
It might not all make sense to you, but I promise it makes sense to her. She isn't trying to make things difficult. It it just how she sees life. If she makes you call the pizza guy, do it. If she won't meet you across campus because it's dark out and late, meet her. If she needs her sleep and has to cancel dinner because she spent the whole night studying, tuck her in with a kiss on her forehead.
Falling in love with a girl with anxiety is not easy.
It's difficult to understand when doing a simple task isn't filled with paranoia and fear for you. She might cry a lot at random times, but I promise she isn't pregnant-- so don't ask that question. She is anxiety filled and overwhelmed and needs your love.
So don't be afraid to fall in love with a girl with anxiety, because if she falls in love with you, she'll make sure she's not afraid.