Hi sorry that you have had to join us.
We are all different, and react differently to different treatments, and so the important thing is to become well informed about Lichen Schlerosus, read as much as you can, and don't rely too heavily on the words of doctors, because they aren't always correct when it comes to the condition of LS, sorry to say it, but it is true!!
You are going to have to look at your undercarriage regularly in a magnified mirror to monitor your condition, and apply your cream. When you apply the cream, only use a tiny bit, about the size of a pearl. The cream your doc has suggested sounds about right for a twice a day application, however, I do think three months is a long time, and as a suggestion, perhaps you might be better using your own judgement, taking into account how your body is looking and feeling.
Whilst I am clearly not a Doctor or medical practitioner, I do however feel that I am qualified enough to tell you, that I too have used the cream that you have been prescribed for a week, resulting in favorable results, and then I continued to use it twice a week for maintenance, until all appeared well down below, you may of course need much longer, but my point is that only you can ultimately be the judge of how long it takes before you see some results. You also mentioned pigment discoloration, by this I am guessing you have white areas/patches, and so it is important not to be afraid of using the cream, as you will need to get this flare under control.
With regards to sex, I think your Gyno is correct, narrowing of the vaginal opening is a common problem, and so if you are able to have sexual relations then that is a good thing for LS, that said, it is not always that simple, I can have sex, but it is not the spontaneous robust sex that I have had in the past (bearing in mind my husband has to rearrange furniture and seating arrangements, to get the best leverage possible!....it's bit of a military operation!) as tearing, and sore areas can occur, and if someone is in a flare, then really I don't think it is such a good idea, as it's best to wait, or you could feel very sore afterwards, and even cause yourself more problems long term.
Many women spray their undercarriage after using the bathroom, with a mixture of water and a pinch of bicarbonate of soda, and in my experience that does help, however you will need to have something like coconut oil, emu oil, or even vaseline to apply afterwards to keep everything well lubricated, as one of the more serious aspects of LS is vaginal fusing, which I suggest you should read about, and make yourself as well informed as possible regarding this potential unfortunate symptom of LS, which can often be avoided with vigilance.