It sounds like you are HIV+ and worried about transmitting HIV to another person. If that is the case, rest assured that HIV will NEVER transmit to another person by accident or from normal activities and contact.
You can only transmit HIV to another person by having unprotected sex with them, or by sharing intravenous needles with them. You can continue any other activities without concern.
If that isn't your question, please clarify and we'll be happy to answer.
There are 2 important factors that negates risk(s).
1. HIV can only replicate in presence of it's host, moments after it establishes contact with the environment the viral DNA is damaged and it is rendered uninfectious.
2. Hypothetically speaking, even if your mother ingested infected blood from a syringe, it wouldn't have been a risk as presence of saliva and gastric acid in the stomach inhibits the virus, this virus can't be transmitted through the digestive system.
I am curious, were you diagnosed to be HIV positive?