I would definitely give her the TV. It will prove to her that you are really nice and generous, and a provider. Girls like those traits. She will feel special that you chose her out of all your colleagues. Tell her that you love her, and that she is important to you. Tell her that you think of her the whole time, and that she deserves the gift more than anything. That will impress her, and she will think you are Jesus.
Then offer to bring the TV to her place, and install it for her. Tell her that this is a man's job, and girls shouldn't have to worry about doing these things. This will show that you are kind, considerate, but an alpha male at the same time. Before you go to her place, get a good run in, and show up in your running gear, and preferably wear a marathon finisher's tshirt. She will be gobsmacked. She will think you are super fit and masculine. You will tick all the boxes. She will be shocked that you can just casually go for a run and then carry a TV straight afterwards. You will appear strong as fukk, especially if it is a huge TV.
When you are finished ask if you can have a drink, because you are dehydrated from running 10 miles. Then pretend to collapse by throwing yourself onto the floor. Sit up on the coach and rub your leg, and tell her you think you have an injury. She will think you are a hero, and will want to help you after what you did for her. Now all you need to do is get her to massage you, and let you stay in her place for the night. This is the fool proof way of getting her. She will think you are very tough when you are not crying or complaining about the injury. It will be so easy, especially with the TV. Ask her if she wants to watch something romantic. She will be yours by the end of the movie.