Short: You are putting yourself at immense risk by agreeing to do this.
Very best case it is almost certainly illegal.
Worst case you could end up in a UK prison. Really.
This is potentially VERY risky.
Worst case outcome is years in prison.
Even the best case outcome here if you are honest with the authorities is some very stiff questioning and quite possibly confiscation of the drugs.
If you know and trust the friends and are completely completely completely sure that she would not be trying to import illegal drugs, then it would be very risky.
the prescription that she has provided is under my name as opposed to under her name.
This is illegal.
If you do not tell the UK customs that this is the case and they find this to be the case then you risk penalties, even if the drugs are legitimate ones.
She tells me that carrying medicines for one's own use is better accepted than carrying for a friend.
This is true IF and ONLY IF they are for your own use.
If not, then honesty is far less risky.
How would they know?
If they were suspicious, and it's their job to be, they may ask you questions.
Can you answer all the following?
What are the drugs?
What do you use them for?
Who prescribed them?
What was the Doctors name?
Why don't you know???? !!!
If you go so far as learning all this in order to pass through UK customs, then you deserve to have problems. Alas, the sort of problems you could have could be far beyond what you deserve.
Carrying them for a friend with a friend's name on the prescription MAY be OK if you tell this to the customs in your customs declaration BEFORE they start asking you questions.
The customs officials can then decide whether to
- allow them in as is (unlikely),
- test and allow,
- confiscate (quite likely)
- test and find that they are illegal drugs contrary to label and then decide what to do.
You MAY survive the last case IF you tell them everything honestly BEFORE they ask.
Once they find things which you have not told them then you risk penalties.
She also tells me that these medicines are normal medicines for any woman and there should be no problem in carrying them.
If this is the case, ask yourself "Why is she getting them from India?" There MAY be a good answer but there may not. THey MAY be cheaper in India by far. They may not be available at all in the UK, even if legitimate.
This is your life, your future and your ability to enter the UK in future that is at risk.
At best your friends is saving money or gaining something that is OK in India but may be illegal in the UK.
Worst case you are being used.
This happens often worldwide. The international drug trade depends on people being prepared to do unwise things (like this) or desperate things.
I am confused.
Either do everything absolutely honestly and openly and declare it in advance, or risk the consequences.