The first date is a treasure for smart men. This is the time you should gauge how far the journey of love will go and how rough or smooth it will be. It is good to watch out for indicators of the true self that is usually concealed until when it is too late to say no.
The first trap is to be as relaxed as possible and as casual as you can to calm her down. She should never know that you are judging her behavior. She will eventually let her real personality out then you can weigh if you can leave it.
In case an opportunity arises, where you can talk about her ex-boyfriend and other people, please be keen and note how she describes them. Someone who does not see anything positive in other people including the ex-has a problem and should be avoided.
Giving specific top life values can also help you know what kind of a woman you are dealing with. What she values will determine your experience when things are not well in your relationship. Those who prioritize fame over things like health, honesty, and trust are a ticking bomb.
It is the first day but make up a situation that dictates that she says sorry. She should be able to apologize for the mistake for you to have a peaceful future.