can i get time off for bad family news? will it be marked as sickness?

Found out today out of nowhere my dad has cancer and it's hit me pretty hard. I found out as I was going into work but I couldn't cope and went home 30 minutes into my shift.

I'm already on my second warning absense-wise and I'm worried this will result in a disciplinary if i take the next two days off, how can I go about talking to my manager about this? I can't function at work, i've never dealt with something like this before.

Update: The manager who handles my holiday and stuff has let me have the next two days off thankfully, I’m really upset with how unempathetic the response I got was from the management on shift and my colleagues were miles kinder about it. Thank you everyone for the kind words 🖤