Port Removal from Ireland and ILR Application in the UK [closed]

I'm an Irish citizen - my girlfriend and I live in London. Last Christmas we tried to go to Ireland on the boat, but my girlfriend didn't have her passport with her (she is not an EU citizen). The Immigration team at the port stopped her and sent her back on the boat as she didn't have the right documents. They gave her a 2-page document: 1st page was to the Ship Company - a Carrier's Removal Direction under section 5(10)(b) of the Immigration Act 2003, and the 2nd page: Addressed to her under the Immigration Act(g) 'that the non-national is not in possession of a valid passport or other equivalent document, issued by or on behalf of an authority recognised by the Government, which establishes his or her identity and nationality.' She has had Tourist Visas to Ireland twice before and the Immigration guy said it was not a big deal. But, she is trying to apply for a Tourist Visa again and one of the questions asks about removal from a port in Ireland.

Does anyone know if we can check to see if this removal has been recorded in the system? Is there any phone number to ring or place to check?

If it is in the system, does anyone know if this will possibly result in a rejection of the Tourist visa?

Can anyone give any advice please - we are worried to apply as a rejection might affect her UK and other travel Visas.

If it is a rejection, does this mean that she won't be allowed to Ireland again?

Also, most importantly she will apply for Indefinite visa in the UK in February. Any idea if this situation effects her ILR visa application?