I don't have a problem if this is her first time performing hajj.

I only have a beef against those rich people who go to the hajj multiple times.

Cash is king is correct

A true Muslim who deeply understands the significance and obligation of performing Hajj would also recognise that many others are still waiting for their opportunity to fulfill this duty. Given that, why not prioritize those who has yet to have the chance to go for hajj instead you take up the quota?