Emma Grayson, 22, said she felt "very scared" and "uncomfortable" during the incident on Sunday evening.
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Ms Grayson videoed some of the encounter and later posted it on the social media app TikTok.
She said she wanted to raise awareness of the type of situation she and her friends often find themselves in.
The man approached her on Newport Road in Cardiff at about 21:00 BST on Sunday.
In the video, which the Cardiff Metropolitan University fashion marketing student titled "NO means NO", the man keeps propositioning and following her, despite her repeatedly saying she wants to be left alone.
She filmed about a minute of the ten-minute long encounter, during which he said things to her such as: "I saw you for the first time and liked you", "I have a lot of money" and "How much do you want?"
Emma said: "It was a very scary situation because I didn't know if he had anything on him like a weapon.
"I don't know this guy so I couldn't just assume that he didn't have anything on him.
"It was best for me just to stay calm and that's how I dealt with it. I don't think I realised how bad it was until I watched it back."
Since she put the video on Tiktok, it has had over two million views but Emma says she has been surprised by the negative comments some people have made on the video.