@Steamrollersam I am going off topic, as you have posted limited details e.g. is a family member/ friend or yourself going to be travelling with your daughter? As you indicated that you are not into status runs, I am assuming that you are not planning to travel with her. I find the notion of getting her to WP is ok if it is within reach; however, if you plan to put her on a solo status run at 13 just to hit WP, I would wonder why you would do that.
Do not get me wrong, I am not passing judgement, most flights be it international or domestic go to plan, what if this one does not. Your daughter may get suck in some airport with noway home. I live in ADL so am quite aware that the frequency of flights is limited, I have a daughter of a similar age who is more than capable of flying and transiting airports. When she travels with her mother I give them both all the details and am confident that MissM is more than capable of getting from point A to B even if a transit/ transfer is involved than her mother, but things do (and have gone) south she still has an adult with her.
If she is going to travel as UM there is a level of assurance that she will be looked after I also am assuming you are aware of the UM rules. Although many of the responses were trying to be helpful and answer you question, some of the suggestions to send a minor (be it girl or boy) on routes to NZ or BNE-CNS are ridiculous.
I will now get off my soap box and wish you the very best in the decision you make.