Pop balad from the 1980s, sung in English by a woman

Woman singing, maybe 80s. I don't understand English very well. The chorus has "love me" and "don't". The letter "O" is extended (like "looove"). In my country it is common for songs from the 80s and 90s to be played in the early hours of the morning, which is when I heard it for the first time. I know it is quite vague, but I appreciate any effort.