Be on (one's) tod British old-fashioned informal slang
on your own; alone
I have been on my tod ever since my family has moved to America.
Ashma: Do you want to hang out with me on the weekend? Naddine: Thank you Ashma, but I just want to be on my tod at home and sleep. This week is really exhausting for me. How about the next week?
Everyone is going to have a drink . Are you going to be alright here all on your tod?
The verb "be" should be conjugated according to its tense.
This is one of the best-known examples of Cockney rhyming slang (on your tod -> on your Tod Sloan -> on your own).
It's a common device of rhyming slang to use the name of a popular celebrity. Other contenders for 'on your own' are 'on your Jack' (Jones - UK) and 'on your Pat' (Malone - Australia).