All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ‘alayhi wa sallam, is His slave and Messenger.
First of all, it should be noted that Wadi is not particular to men; women discharge Wadi as well. The author of Haashiyat Al-‘Adawi ‘ala Sharh Al-Kharashi Al-Maaliki said, “Know that women also discharge Wadi after discharging urine.”
As for the description of Wadi, An-Nawawi said, “Wadi is a thick, white, cloudy liquid that resembles Maniyy (semen) in its thickness, but it is different from it in its cloudiness and has no smell. It comes out immediately after urinating or when carrying heavy objects, and it comes out as one or two drops or the like. The scholars unanimously agreed that Ghusl is not required when Mathi (pre-ejaculatory fluid) or Wadi are emitted.” [Al-Majmoo’]
As for Mathi, An-Nawawi clarified its description as follows, “Mathi is a thin, sticky, white liquid that is emitted when one feels sexual desire but without feeling actual sexual pleasure or ejaculation, and it is not followed by tiredness, and one may not be aware that it is being emitted. Both men and women experience this, although women experience it more than men.”
Both Wadi and Mathi are ritually impure and discharging them invalidates the ablution. It is required to wash off the traces of both discharges from the person's body and clothes. As for Ghusl, it is only required when discharging Maniyy, which has a distinct description. In his commentary on Saheeh Muslim, Imaam An-Nawawi said, “The Maniyy of woman is thin and yellow. It may be white if she has physical strength. It has two distinguishing characteristics, either of which is sufficient to class the substance as Maniyy: firstly, it smells like the Maniyy of men, and secondly, its emission is accompanied by feelings of pleasure and is immediately followed by exhaustion.” [Sharh Saheeh Muslim]
Thus, the dear questioner comes to know that she was not required to perform Ghusl because the description of the discharge in the question is different from that of Maniyy.
For more information, please, refer to fatwas 82518 and 82245.
Lastly, we would like to emphasize the prohibition of watching immorality on mass media involving immoral series and nude scenes and the like. It is incumbent on the Muslim to lower his/her gaze and refrain from watching indecency, in abidance with the divine command. Allah, The Exalted, says (what means): {Tell the believing men to reduce (some) of their vision and guard their private parts. That is purer for them. Indeed, Allah is Acquainted with what they do.*And tell the believing women to reduce (some) of their vision and guard their private parts...} [Quran 24:30-31]
Allah knows best.