as sh*tty to hear as it is, the fact that she's blowing you off when you suggest coming to london is not good news. it might not be THE END OF THE WORLD, but obviously it isn't what you want to hear. prepare yourself for the worst, and when you've convinced yourself that fundamentally this is something you could get over in 2-3 days if it doesn't work out (considering you've stated you have other options), go for the phone route. like the other guy said, you can't duck that question on the phone. if she textually blows you off about the phone number like she does about the london visits, i'm sorry to say it but there's nothing you can really do except blow her off entirely. there's always a chance, however minute, that she'll get frustrated that you've dismissed her entirely and she'll change her mind, but count on the worst. that way, you'll learn to never get too disappointed and more often than not you'll be pleasantly surprised with tons of stuff. best of luck