"being unwelcome" is correct and usable in written English.
You can use it in a variety of contexts – for example, you might say, "I felt unwelcome in the room."
Asked "Shall we just shag?" four times, despite the advances clearly being unwelcome.
When she took her discrimination accusation outside the firm three years later, she went from being watched to being unwelcome, she said.
Moving into the world of show business, Ms. Braden recalls the performer's being unwelcome at the front door of many establishments that featured her as an entertainer.
At the beginning and end, he mournfully captures that feeling of being unwelcome in Britain, and the desire for flight, to escape the brutal and bruising atmosphere that I, as a child of Jamaican immigrants, felt in the 1970s.
Aleksandra spoke heartbreakingly about this new feeling of being unwelcome in Britain and about how important it had always been for her to belong to a group of people similar to her, to her community, to the country she had made her home.
In contrast to the "respect" accorded the Tea Party, OWS has made an impact in spite of its message being unwelcome in so much of the media.
