Try again in 3 months.
Normally good advice but that would mean the OP would need to find another source of 50k Southwest pints for the companion pass. 110k points needs to be earned in a single calendar year to get the pass.
Since he was just approved for the personal card, he should try and time it so the points from that bonus post in January.
That way it'll be easier for him to get the companion pass (won't have to rush to get another 60k points in two months of 2015), and he could have the pass for almost two years rather than just over a year.
Either way, I suggest OP tries calling in again and hopefully will get a more cooperative representative. Otherwise he might indeed have to wait a few months and try again.
If the 50k from the Southwest business cc posts in January, then the OP would need to get another 58k points (subtract $2k for the spending required on the Personal card to get the bonus) next calendar year to get the pass.
AFAIK, there are only two Southwest cc's available these days, the Personal Premier and the Business Premier.
Getting 58k Southwest points in a single calendar year without the help of a cc signup bonus is incredibly difficult.
What the OP should have done is applied to both of them in December, not a couple days ago. But that's already a done deal. So the OP has two options
1) Try to get the Southwest Business credit card this year. This will limit the usefulness of the companion pass to a year + couple months, but if the OP can get the business card, then the OP only needs to source another 6k Southwest points. This isn't that hard.
2) Try to get the Southwest Business credit card next year. This means the OP will only have 52k Southwest points (again, add 2k for required spending to get the bonus) towards the companion pass. The OP would have to source another 58k Southwest points WITHOUT the help of a cc signup bonus. If this is achieved, then the OP can have the companion pass for almost two calendar years. However, it will probably take substantial time to get 58k Southwest points without a cc signup bonus, so the time taken to do that eats into the life of the companion pass.
If you still think option 2 is a good plan, then please present a way to get 58k Southwest points. Because as it stands, option 1 seems to be the better option.