Weird to create a poll where two almost diametrically opposite groups are teamed together.
Refugees are by definition vulnerable due to being forced to leave their homes and seek asylum in a foreign country. This may also intersect with other vulnerabilities such as race, being a child, female, not speaking the language of the new country.
Transwomen are not especially vulnerable. Firstly, as males, as a class they are not as vulnerable to the effect of male violence as women, nor as likely to be raped, nor can they get pregnant from rape. Stats show transwomen are a very safe demographic in the UK. As males they are economically and structurally advantaged.
Second, the term has been broadened to the extent that it no longer refers to dysphoric homosexual males driven to surgery after being subjected to homophobic and sexist upbringings. Historically, most women felt sympathy for these transwomen, even if on reflection they realise they were never asked for consent re space sharing. These transwomen are vulnerable in the same way gay, effeminate or insufficiently macho men are. The term "transwomen" now is just as likely to refer to a straight male who may or may not engage in degrees of stereotyped dressing, hormones or fake tits. These transwomen are not especially vulnerable. Many transition minimally and after fathering kids and reaping the rewards of a male pattern career.
Transwomen as a class keep the physical, economic and structural benefits of being male, with the added benefit of a rights movement that bypassed the grass-roots stage and went straight to the boardrooms, civil service and political parties.
Refugees have.... absolutely none of that. They leave their families behind, risk their lives and use their savings to get here, and end up, if they're lucky, being housed in flats full of mould in crime-ridden concrete jungles. They may have been a professional in their previous life but now might be prevented from working.
Re the media, you may be interested to learn that it was trans lobby groups who insisted that transwomen are referred to as women when reporting about crimes (which they commit at same rate as any other male, quite obviously!) This leads to the clickbait headlines. Nobody has the energy to read about all the violence committed by men, but see "woman exposes herself/ rapes / murders/ kidnaps" and you're so surprised that you have to click.