The best option for the meaning of the expression is: a private conversation.
The French expression "tête-à-tête" means precisely that: a private conversation that usually takes place between two people. It could also involve more people as long as it's still intimate. This expression literally means "head-to-head", since the word <em>tête</em> comes from Old Frech <em>teste</em> (head.).
The answer is The interview describes the effect of the visit of the first class of astronauts that included a female while the article describes her dreams of commanding a space flight.
