The denial is probably a sign to tell you to garden what you have with GE. Depending on your credit profile will determine how long you should wait. A longer AAOA, thicker file can app quicker. Short, thin files at least 6 mos. because you are trying to open multiple accounts with the same lender - I would suggest you wait until after your successful auto CLI at the very earliest
I have 3 inq on TU. history is 9 years but really starting over. I have Walmart 200.00 ( today) Sams 400.00 ( today) and Capital One 500.00 limit but waiting on EO to call back after writing CEO for increase. Also credit union visa 500.00 (new) and line of credit with credit union ( over draft). 1000.00 none but capital is really showing on CR yet.
I have 5 collections all paid. One card c/o paid, on EQ I have a tax lien but is about to be withdrawn ( already been deleted off TU and EX) I do have one collection unpaid but they said they would delete if paid so I will prob pay that.
Barclays likes to see 12mos of rev history if you are rebuilding. They have approved new credit with less than 12 but generally you might want to take care of your baddies, inq's age and in 4-6 mos try GEs PayPal MC.