Yes, she's cake-eating. Or not so much cake-eating as "normalizing." Her texts are a form of "is he fine with all of this?", and you absolutely don't want to play into that.
How/how fast DID you respond? You never said. You should not respond to these AT ALL, and when she asks if you're ignoring her (and she will), just say "Oh, sorry -- I've just been really busy, and forgot to reply" or some such.
And then see to it that you truly ARE legitimately busy!
