First time court for access

Hi

I have my first hearing next week for access to my nearly one year old child.

The jist is I have refused all offer of contact from ex because she rather stupidly gave the game away too early (she likes to give out empty threats) and it became obvious any meetup was an underhand attempt to build a case of domestic abuse from nothing. She gave a false police report after one such meet though I've never heard from the police.

Prior to separating there was nothing, it's all been invented post separation.

A fortnight before I submit an application my ex sent an email to my solicitor asking why I was applying to court, that she didn't wish to waste court time, that she wanted me to have access to my daughter and that she had offered amicable alternatives than me visiting the home alone.
If was a fairly long email but made no mention of any domestic abuse allegations whatsoever.

After submitting my application low and behold all the allegations have been made.

Surly if I present this email to the magistrates they're going to feel it's somewhat contradictory why she's confused why I turned down her offers to only then start talking about fearing for her life and being a victim of domestic abuse?

Will the magistrates want to see this email at the first hearing? My position statement clearly states I'm applying for my own protection from continued false allegations and I made that clear to CAFCASS too on the phone.