Hello, I would be happy to help you with your question.
The egg-white mucus and small spot of blood is almost certainly related to the intercourse with combination of semen and a small amount of bleeding from the cervix
(which is normal) to explain what you are describing. I do not believe that this represents pregnancy
, but given that you ARE trying to get pregnant, you should check a test now and repeat it in 1-2 weeks.
I hope that this helps and good luck!