I have sent a letter to a lady I really liked, but she didn’t answer to me, and I don’t know if I should give up or try again?

First of all you have to remember that Internet at home is still a luxury thing for many Russians, so give her at least 3-4 days to answer to you. If you didn’t get an answer, try to send a small message – just do double check if she got your first letter - it could happen that letter was lost by an Internet provider and she didn’t have idea that you wrote to her.

Are Russian women's personalities different from Western women?

Yes, they are a bit different. They don't have a different type of character, and they also love shopping and chatting. They are human beings and they are definitely not perfect. The main difference is that they are much more patient and can tolerate things that Western women will never be able to bear. They are more considerate and dependable. They are partners, not competitors.

Another important difference is that Russian women (and Russians in general) have very low self-esteem. While Western women think that they are goddesses and able to cope with anything on their own, a Russian woman will rarely leave a bad (really bad) husband because of the fear that she won't find another one. For many years the state and men have been oppressing them, and they don't think much about themselves.
In Russia there is a shortage of good men available for marriage. This is due to a higher death rate among Russian men, these men have one of the lowest life expectancies rates of any developed country. Also due to the poor economic situation in Russia many men do not want the added responsibility of a wife and family and can not support them.
Western men have a reputation for treating their wives and family very well, they are viewed as being more loyal, reliable, sober, and intelligent than most Russian men

Russian women are well groomed, stylish and intelligent (as are Russians in general) but they pay much less attention to sport and other aspects of healthy life-style. Nevertheless, they are rarely overweight - probably, because of permanent stress and food that is expensive. And they still walk a lot because they don't have cars

Are Russian women interested in living in any other countries apart from America?

Many women are interested in particular countries like Germany, Austria, Italy, France, England, Australia, Canada and others. Usually the reason for that are family members or friends who are staying there.
Actually, very few women would like to go only to the US, most of them don't mind about a country if it's the right man.

I would like to write to some Russian ladies but I am not out to look for a wife immediately, rather a friend first and then see what happens. Do ladies expect more?

You can state clearly from the very beginning that you are interested in establishing friendship first. The majority of the women seeking partners do expect more, but if they decide to keep contact with you, it will mean that they accept your position.
There is nothing wrong with your position, and if you don't feel ready for starting a long term relationship right now, you may try to start with friendship. Beware though, that a lady can accept somebody else's offer, even if she really likes you, just because she is not sure about your intentions

Can Russian women speak English?

Most of the ladies who apply to dating agencies can at least read and understand English. About 25% can speak some English, and probably 10% speak English well. In bigger cities like Moscow and St Petersburg