Name on International Ticket

I booked some award tickets on partner airline SAS. I had one where I had two seats reserved and on hold. I called back later in the day to purchase it with the miles. It turned out that the first rep did not put my middle name on the ticket just the middle initial. My passport and United profile has my middle name so the second rep said should could not finalize it.

We wound up canceling it and they were able to get the same award saver luckily.

So I looked at another award booking and another one has just my middle initial. This is a return from CPH to EWR (booked as one way). The rep said I might have an issue getting on the plane in CPH since my passport has my full middle name and the ticket is only the middle initial.

I am concerned if we cancel and try to rebook, I will not get it.

Does anyone know if I will have an issue?

thanks,

Mike