If you have bleeding gums you should check in with your dentist that is a greater health problem than hotel sheets against your buttock.
The CDC does specifically say that kissing and sharing food and utensils is no risk.
"What are ways Hepatitis C is not spread?
Hepatitis C virus is not spread by sharing eating utensils, breastfeeding, hugging, kissing, holding hands, coughing, or sneezing. It is also not spread through food or water."
Hep C is not spread by ingestion but by blood to blood contact.
I believe if you got in a physical bare knuckle fight with broken bleeding noses and bleeding knuckles yes that would be a risk.
As far as risk the CDC does list some examples this list is not intended to be all inclusive for example it doesnt list the bareknuckle fight or bar roon brawl situation with blood flying in all directions but personally the only time I have seen anything like that was on TV or in a movie
"Who is at risk for Hepatitis C?
Some people are at increased risk for Hepatitis C, including
•Current injection drug users (currently the most common way Hepatitis C virus is spread in the United States)
•Past injection drug users, including those who injected only one time or many years ago
•Recipients of donated blood, blood products, and organs (once a common means of transmission but now rare in the United States since blood screening became available in 1992)
•People who received a blood product for clotting problems made before 1987
•Hemodialysis patients or persons who spent many years on dialysis for kidney failure
•People who received body piercing or tattoos done with non-sterile instruments
•People with known exposures to the Hepatitis C virus, such as
◦Health care workers injured by needlesticks
◦Recipients of blood or organs from a donor who tested positive for the Hepatitis C virus
•HIV-infected persons
•Children born to mothers infected with the Hepatitis C virus"
So looking as those examples in regards to your last question
"Does the infectious blood have to through the uninfected person's skin deeply into the blood circulatory system? ."
Not so much deeply as in the tattoo example but blood to blood contact is needed not blood to unbroken skin.
I would like to suggest you consider maybe looking into the Anxiety Forum
http://www.medhelp.org/forums/Anxiety/show/71
Or the OCD Forum
http://www.medhelp.org/forums/Obsessive-Compulsive-Disorder-OCD-/show/231
They will probably be of more help to you than we here are
Good luck to you
Lynn